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Finding the Fourth Proportional to 5,897.18, 8,138.90 and 5,398.93

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Solution

The fourth proportional to 5,897.18, 8,138.90 and 5,398.93 is: 7,451.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.18 : 8,138.90 = 5,398.93 : x
  2. Step 2: Convert to fraction form
    5,897.18/8,138.90 = 5,398.93/x
  3. Step 3: Cross multiply
    5,897.18x = 8,138.90 × 5,398.93
  4. Step 4: Simplify right side
    5,897.18x = 43,941,344.53
  5. Step 5: Solve for x
    x = 43,941,344.53/5,897.18
  6. Step 6: Final answer
    x = 7,451.24

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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.