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Finding the Fourth Proportional to 4,895.91, 7,349.13 and 1,976.13

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Solution

The fourth proportional to 4,895.91, 7,349.13 and 1,976.13 is: 2,966.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895.91 : 7,349.13 = 1,976.13 : x
  2. Step 2: Convert to fraction form
    4,895.91/7,349.13 = 1,976.13/x
  3. Step 3: Cross multiply
    4,895.91x = 7,349.13 × 1,976.13
  4. Step 4: Simplify right side
    4,895.91x = 14,522,836.27
  5. Step 5: Solve for x
    x = 14,522,836.27/4,895.91
  6. Step 6: Final answer
    x = 2,966.32

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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.