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Finding the Fourth Proportional to 5,897.50, 8,140.68 and 3,908.70

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Solution

The fourth proportional to 5,897.50, 8,140.68 and 3,908.70 is: 5,395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.50 : 8,140.68 = 3,908.70 : x
  2. Step 2: Convert to fraction form
    5,897.50/8,140.68 = 3,908.70/x
  3. Step 3: Cross multiply
    5,897.50x = 8,140.68 × 3,908.70
  4. Step 4: Simplify right side
    5,897.50x = 31,819,442.03
  5. Step 5: Solve for x
    x = 31,819,442.03/5,897.50
  6. Step 6: Final answer
    x = 5,395.41

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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.