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Finding the Fourth Proportional to 4,557.38, 6,834.86 and 1,924.92

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Solution

The fourth proportional to 4,557.38, 6,834.86 and 1,924.92 is: 2,886.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,557.38 : 6,834.86 = 1,924.92 : x
  2. Step 2: Convert to fraction form
    4,557.38/6,834.86 = 1,924.92/x
  3. Step 3: Cross multiply
    4,557.38x = 6,834.86 × 1,924.92
  4. Step 4: Simplify right side
    4,557.38x = 13,156,558.71
  5. Step 5: Solve for x
    x = 13,156,558.71/4,557.38
  6. Step 6: Final answer
    x = 2,886.87

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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.