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Finding the Fourth Proportional to 5,700.44, 8,542.68 and 4,312.64

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Solution

The fourth proportional to 5,700.44, 8,542.68 and 4,312.64 is: 6,462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.44 : 8,542.68 = 4,312.64 : x
  2. Step 2: Convert to fraction form
    5,700.44/8,542.68 = 4,312.64/x
  3. Step 3: Cross multiply
    5,700.44x = 8,542.68 × 4,312.64
  4. Step 4: Simplify right side
    5,700.44x = 36,841,503.48
  5. Step 5: Solve for x
    x = 36,841,503.48/5,700.44
  6. Step 6: Final answer
    x = 6,462.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.