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Finding the Fourth Proportional to 5,291.70, 7,294.19 and 4,170.87

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Solution

The fourth proportional to 5,291.70, 7,294.19 and 4,170.87 is: 5,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.70 : 7,294.19 = 4,170.87 : x
  2. Step 2: Convert to fraction form
    5,291.70/7,294.19 = 4,170.87/x
  3. Step 3: Cross multiply
    5,291.70x = 7,294.19 × 4,170.87
  4. Step 4: Simplify right side
    5,291.70x = 30,423,097.39
  5. Step 5: Solve for x
    x = 30,423,097.39/5,291.70
  6. Step 6: Final answer
    x = 5,749.21

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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.