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Finding the Fourth Proportional to 5,631.06, 8,446.59 and 1,527.06

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Solution

The fourth proportional to 5,631.06, 8,446.59 and 1,527.06 is: 2,290.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.06 : 8,446.59 = 1,527.06 : x
  2. Step 2: Convert to fraction form
    5,631.06/8,446.59 = 1,527.06/x
  3. Step 3: Cross multiply
    5,631.06x = 8,446.59 × 1,527.06
  4. Step 4: Simplify right side
    5,631.06x = 12,898,449.73
  5. Step 5: Solve for x
    x = 12,898,449.73/5,631.06
  6. Step 6: Final answer
    x = 2,290.59

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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.