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Finding the Fourth Proportional to 4,874.40, 7,312.69 and 2,275.92

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Solution

The fourth proportional to 4,874.40, 7,312.69 and 2,275.92 is: 3,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.40 : 7,312.69 = 2,275.92 : x
  2. Step 2: Convert to fraction form
    4,874.40/7,312.69 = 2,275.92/x
  3. Step 3: Cross multiply
    4,874.40x = 7,312.69 × 2,275.92
  4. Step 4: Simplify right side
    4,874.40x = 16,643,097.42
  5. Step 5: Solve for x
    x = 16,643,097.42/4,874.40
  6. Step 6: Final answer
    x = 3,414.39

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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.