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Finding the Fourth Proportional to 5,710.76, 8,561.48 and 2,545.88

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Solution

The fourth proportional to 5,710.76, 8,561.48 and 2,545.88 is: 3,816.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.76 : 8,561.48 = 2,545.88 : x
  2. Step 2: Convert to fraction form
    5,710.76/8,561.48 = 2,545.88/x
  3. Step 3: Cross multiply
    5,710.76x = 8,561.48 × 2,545.88
  4. Step 4: Simplify right side
    5,710.76x = 21,796,500.70
  5. Step 5: Solve for x
    x = 21,796,500.70/5,710.76
  6. Step 6: Final answer
    x = 3,816.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.