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Finding the Fourth Proportional to 5,646.03, 8,465.96 and 4,483.50

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Solution

The fourth proportional to 5,646.03, 8,465.96 and 4,483.50 is: 6,722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.03 : 8,465.96 = 4,483.50 : x
  2. Step 2: Convert to fraction form
    5,646.03/8,465.96 = 4,483.50/x
  3. Step 3: Cross multiply
    5,646.03x = 8,465.96 × 4,483.50
  4. Step 4: Simplify right side
    5,646.03x = 37,957,131.66
  5. Step 5: Solve for x
    x = 37,957,131.66/5,646.03
  6. Step 6: Final answer
    x = 6,722.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.