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Finding the Fourth Proportional to 5,700.90, 8,538.36 and 3,937.89

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Solution

The fourth proportional to 5,700.90, 8,538.36 and 3,937.89 is: 5,897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.90 : 8,538.36 = 3,937.89 : x
  2. Step 2: Convert to fraction form
    5,700.90/8,538.36 = 3,937.89/x
  3. Step 3: Cross multiply
    5,700.90x = 8,538.36 × 3,937.89
  4. Step 4: Simplify right side
    5,700.90x = 33,623,079.77
  5. Step 5: Solve for x
    x = 33,623,079.77/5,700.90
  6. Step 6: Final answer
    x = 5,897.85

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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.