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Finding the Fourth Proportional to 4,732.32, 7,098.20 and 1,809.30

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Solution

The fourth proportional to 4,732.32, 7,098.20 and 1,809.30 is: 2,713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.32 : 7,098.20 = 1,809.30 : x
  2. Step 2: Convert to fraction form
    4,732.32/7,098.20 = 1,809.30/x
  3. Step 3: Cross multiply
    4,732.32x = 7,098.20 × 1,809.30
  4. Step 4: Simplify right side
    4,732.32x = 12,842,773.26
  5. Step 5: Solve for x
    x = 12,842,773.26/4,732.32
  6. Step 6: Final answer
    x = 2,713.84

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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.