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Finding the Fourth Proportional to 5,803.14, 8,706.24 and 2,515.47

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Solution

The fourth proportional to 5,803.14, 8,706.24 and 2,515.47 is: 3,773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.14 : 8,706.24 = 2,515.47 : x
  2. Step 2: Convert to fraction form
    5,803.14/8,706.24 = 2,515.47/x
  3. Step 3: Cross multiply
    5,803.14x = 8,706.24 × 2,515.47
  4. Step 4: Simplify right side
    5,803.14x = 21,900,285.53
  5. Step 5: Solve for x
    x = 21,900,285.53/5,803.14
  6. Step 6: Final answer
    x = 3,773.87

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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.