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Finding the Fourth Proportional to 4,312.52, 6,470.62 and 1,847.88

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Solution

The fourth proportional to 4,312.52, 6,470.62 and 1,847.88 is: 2,772.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.52 : 6,470.62 = 1,847.88 : x
  2. Step 2: Convert to fraction form
    4,312.52/6,470.62 = 1,847.88/x
  3. Step 3: Cross multiply
    4,312.52x = 6,470.62 × 1,847.88
  4. Step 4: Simplify right side
    4,312.52x = 11,956,929.29
  5. Step 5: Solve for x
    x = 11,956,929.29/4,312.52
  6. Step 6: Final answer
    x = 2,772.61

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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.