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Finding the Fourth Proportional to 5,699.17, 8,542.36 and 3,728.59

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Solution

The fourth proportional to 5,699.17, 8,542.36 and 3,728.59 is: 5,588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.17 : 8,542.36 = 3,728.59 : x
  2. Step 2: Convert to fraction form
    5,699.17/8,542.36 = 3,728.59/x
  3. Step 3: Cross multiply
    5,699.17x = 8,542.36 × 3,728.59
  4. Step 4: Simplify right side
    5,699.17x = 31,850,927.40
  5. Step 5: Solve for x
    x = 31,850,927.40/5,699.17
  6. Step 6: Final answer
    x = 5,588.70

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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.