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Finding the Fourth Proportional to 5,120.64, 7,065.12 and 4,327.20

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Solution

The fourth proportional to 5,120.64, 7,065.12 and 4,327.20 is: 5,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.64 : 7,065.12 = 4,327.20 : x
  2. Step 2: Convert to fraction form
    5,120.64/7,065.12 = 4,327.20/x
  3. Step 3: Cross multiply
    5,120.64x = 7,065.12 × 4,327.20
  4. Step 4: Simplify right side
    5,120.64x = 30,572,187.26
  5. Step 5: Solve for x
    x = 30,572,187.26/5,120.64
  6. Step 6: Final answer
    x = 5,970.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.