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Finding the Fourth Proportional to 5,897.49, 8,138.57 and 3,658.53

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Solution

The fourth proportional to 5,897.49, 8,138.57 and 3,658.53 is: 5,048.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.49 : 8,138.57 = 3,658.53 : x
  2. Step 2: Convert to fraction form
    5,897.49/8,138.57 = 3,658.53/x
  3. Step 3: Cross multiply
    5,897.49x = 8,138.57 × 3,658.53
  4. Step 4: Simplify right side
    5,897.49x = 29,775,184.21
  5. Step 5: Solve for x
    x = 29,775,184.21/5,897.49
  6. Step 6: Final answer
    x = 5,048.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.