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Finding the Fourth Proportional to 5,707.72, 8,561.76 and 2,545.48

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Solution

The fourth proportional to 5,707.72, 8,561.76 and 2,545.48 is: 3,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.72 : 8,561.76 = 2,545.48 : x
  2. Step 2: Convert to fraction form
    5,707.72/8,561.76 = 2,545.48/x
  3. Step 3: Cross multiply
    5,707.72x = 8,561.76 × 2,545.48
  4. Step 4: Simplify right side
    5,707.72x = 21,793,788.84
  5. Step 5: Solve for x
    x = 21,793,788.84/5,707.72
  6. Step 6: Final answer
    x = 3,818.30

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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.