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Finding the Fourth Proportional to 4,740.66, 6,542.10 and 2,752.38

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Solution

The fourth proportional to 4,740.66, 6,542.10 and 2,752.38 is: 3,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740.66 : 6,542.10 = 2,752.38 : x
  2. Step 2: Convert to fraction form
    4,740.66/6,542.10 = 2,752.38/x
  3. Step 3: Cross multiply
    4,740.66x = 6,542.10 × 2,752.38
  4. Step 4: Simplify right side
    4,740.66x = 18,006,345.20
  5. Step 5: Solve for x
    x = 18,006,345.20/4,740.66
  6. Step 6: Final answer
    x = 3,798.28

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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.