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Finding the Fourth Proportional to 4,937.52, 6,802.05 and 3,442.74

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Solution

The fourth proportional to 4,937.52, 6,802.05 and 3,442.74 is: 4,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.52 : 6,802.05 = 3,442.74 : x
  2. Step 2: Convert to fraction form
    4,937.52/6,802.05 = 3,442.74/x
  3. Step 3: Cross multiply
    4,937.52x = 6,802.05 × 3,442.74
  4. Step 4: Simplify right side
    4,937.52x = 23,417,689.62
  5. Step 5: Solve for x
    x = 23,417,689.62/4,937.52
  6. Step 6: Final answer
    x = 4,742.80

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