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Finding the Fourth Proportional to 6,140.46, 8,473.77 and 3,487.98

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Solution

The fourth proportional to 6,140.46, 8,473.77 and 3,487.98 is: 4,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.46 : 8,473.77 = 3,487.98 : x
  2. Step 2: Convert to fraction form
    6,140.46/8,473.77 = 3,487.98/x
  3. Step 3: Cross multiply
    6,140.46x = 8,473.77 × 3,487.98
  4. Step 4: Simplify right side
    6,140.46x = 29,556,340.28
  5. Step 5: Solve for x
    x = 29,556,340.28/6,140.46
  6. Step 6: Final answer
    x = 4,813.38

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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.