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Finding the Fourth Proportional to 5,700.64, 7,867.56 and 3,462.88

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Solution

The fourth proportional to 5,700.64, 7,867.56 and 3,462.88 is: 4,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.64 : 7,867.56 = 3,462.88 : x
  2. Step 2: Convert to fraction form
    5,700.64/7,867.56 = 3,462.88/x
  3. Step 3: Cross multiply
    5,700.64x = 7,867.56 × 3,462.88
  4. Step 4: Simplify right side
    5,700.64x = 27,244,416.17
  5. Step 5: Solve for x
    x = 27,244,416.17/5,700.64
  6. Step 6: Final answer
    x = 4,779.19

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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.