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Finding the Fourth Proportional to 5,765.64, 8,637.06 and 3,811.92

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Solution

The fourth proportional to 5,765.64, 8,637.06 and 3,811.92 is: 5,710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.64 : 8,637.06 = 3,811.92 : x
  2. Step 2: Convert to fraction form
    5,765.64/8,637.06 = 3,811.92/x
  3. Step 3: Cross multiply
    5,765.64x = 8,637.06 × 3,811.92
  4. Step 4: Simplify right side
    5,765.64x = 32,923,781.76
  5. Step 5: Solve for x
    x = 32,923,781.76/5,765.64
  6. Step 6: Final answer
    x = 5,710.34

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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.