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Finding the Fourth Proportional to 5,938.74, 8,897.19 and 3,019.14

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Solution

The fourth proportional to 5,938.74, 8,897.19 and 3,019.14 is: 4,523.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.74 : 8,897.19 = 3,019.14 : x
  2. Step 2: Convert to fraction form
    5,938.74/8,897.19 = 3,019.14/x
  3. Step 3: Cross multiply
    5,938.74x = 8,897.19 × 3,019.14
  4. Step 4: Simplify right side
    5,938.74x = 26,861,862.22
  5. Step 5: Solve for x
    x = 26,861,862.22/5,938.74
  6. Step 6: Final answer
    x = 4,523.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.