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Finding the Fourth Proportional to 5,897.47, 8,138.01 and 3,474.45

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Solution

The fourth proportional to 5,897.47, 8,138.01 and 3,474.45 is: 4,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.47 : 8,138.01 = 3,474.45 : x
  2. Step 2: Convert to fraction form
    5,897.47/8,138.01 = 3,474.45/x
  3. Step 3: Cross multiply
    5,897.47x = 8,138.01 × 3,474.45
  4. Step 4: Simplify right side
    5,897.47x = 28,275,108.84
  5. Step 5: Solve for x
    x = 28,275,108.84/5,897.47
  6. Step 6: Final answer
    x = 4,794.45

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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.