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Finding the Fourth Proportional to 4,476.92, 6,715.38 and 1,356.90

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Solution

The fourth proportional to 4,476.92, 6,715.38 and 1,356.90 is: 2,035.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.92 : 6,715.38 = 1,356.90 : x
  2. Step 2: Convert to fraction form
    4,476.92/6,715.38 = 1,356.90/x
  3. Step 3: Cross multiply
    4,476.92x = 6,715.38 × 1,356.90
  4. Step 4: Simplify right side
    4,476.92x = 9,112,099.12
  5. Step 5: Solve for x
    x = 9,112,099.12/4,476.92
  6. Step 6: Final answer
    x = 2,035.35

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