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Finding the Fourth Proportional to 4,707.74, 7,061.52 and 1,244.96

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Solution

The fourth proportional to 4,707.74, 7,061.52 and 1,244.96 is: 1,867.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.74 : 7,061.52 = 1,244.96 : x
  2. Step 2: Convert to fraction form
    4,707.74/7,061.52 = 1,244.96/x
  3. Step 3: Cross multiply
    4,707.74x = 7,061.52 × 1,244.96
  4. Step 4: Simplify right side
    4,707.74x = 8,791,309.94
  5. Step 5: Solve for x
    x = 8,791,309.94/4,707.74
  6. Step 6: Final answer
    x = 1,867.42

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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.