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Finding the Fourth Proportional to 5,902.98, 8,147.28 and 3,386.71

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Solution

The fourth proportional to 5,902.98, 8,147.28 and 3,386.71 is: 4,674.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.98 : 8,147.28 = 3,386.71 : x
  2. Step 2: Convert to fraction form
    5,902.98/8,147.28 = 3,386.71/x
  3. Step 3: Cross multiply
    5,902.98x = 8,147.28 × 3,386.71
  4. Step 4: Simplify right side
    5,902.98x = 27,592,497.53
  5. Step 5: Solve for x
    x = 27,592,497.53/5,902.98
  6. Step 6: Final answer
    x = 4,674.34

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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.