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Finding the Fourth Proportional to 5,796.88, 8,695.28 and 4,073.20

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Solution

The fourth proportional to 5,796.88, 8,695.28 and 4,073.20 is: 6,109.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.88 : 8,695.28 = 4,073.20 : x
  2. Step 2: Convert to fraction form
    5,796.88/8,695.28 = 4,073.20/x
  3. Step 3: Cross multiply
    5,796.88x = 8,695.28 × 4,073.20
  4. Step 4: Simplify right side
    5,796.88x = 35,417,614.50
  5. Step 5: Solve for x
    x = 35,417,614.50/5,796.88
  6. Step 6: Final answer
    x = 6,109.77

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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.