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Finding the Fourth Proportional to 5,034.61, 6,949.69 and 3,355.40

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Solution

The fourth proportional to 5,034.61, 6,949.69 and 3,355.40 is: 4,631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.61 : 6,949.69 = 3,355.40 : x
  2. Step 2: Convert to fraction form
    5,034.61/6,949.69 = 3,355.40/x
  3. Step 3: Cross multiply
    5,034.61x = 6,949.69 × 3,355.40
  4. Step 4: Simplify right side
    5,034.61x = 23,319,007.91
  5. Step 5: Solve for x
    x = 23,319,007.91/5,034.61
  6. Step 6: Final answer
    x = 4,631.74

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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.