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Finding the Fourth Proportional to 5,766,328.54, 7,957,699.50 and 3,188,175.76

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Solution

The fourth proportional to 5,766,328.54, 7,957,699.50 and 3,188,175.76 is: 4,399,774.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766,328.54 : 7,957,699.50 = 3,188,175.76 : x
  2. Step 2: Convert to fraction form
    5,766,328.54/7,957,699.50 = 3,188,175.76/x
  3. Step 3: Cross multiply
    5,766,328.54x = 7,957,699.50 × 3,188,175.76
  4. Step 4: Simplify right side
    5,766,328.54x = 25,370,544,651,264.12
  5. Step 5: Solve for x
    x = 25,370,544,651,264.12/5,766,328.54
  6. Step 6: Final answer
    x = 4,399,774.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.