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Finding the Fourth Proportional to 5,762.66, 8,644.78 and 1,865.76

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Solution

The fourth proportional to 5,762.66, 8,644.78 and 1,865.76 is: 2,798.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.66 : 8,644.78 = 1,865.76 : x
  2. Step 2: Convert to fraction form
    5,762.66/8,644.78 = 1,865.76/x
  3. Step 3: Cross multiply
    5,762.66x = 8,644.78 × 1,865.76
  4. Step 4: Simplify right side
    5,762.66x = 16,129,084.73
  5. Step 5: Solve for x
    x = 16,129,084.73/5,762.66
  6. Step 6: Final answer
    x = 2,798.90

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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.