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Finding the Fourth Proportional to 5,700.17, 8,543.86 and 3,729.59

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Solution

The fourth proportional to 5,700.17, 8,543.86 and 3,729.59 is: 5,590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.17 : 8,543.86 = 3,729.59 : x
  2. Step 2: Convert to fraction form
    5,700.17/8,543.86 = 3,729.59/x
  3. Step 3: Cross multiply
    5,700.17x = 8,543.86 × 3,729.59
  4. Step 4: Simplify right side
    5,700.17x = 31,865,094.82
  5. Step 5: Solve for x
    x = 31,865,094.82/5,700.17
  6. Step 6: Final answer
    x = 5,590.20

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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.