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Finding the Fourth Proportional to 5,302.38, 7,319.70 and 3,314.22

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Solution

The fourth proportional to 5,302.38, 7,319.70 and 3,314.22 is: 4,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.38 : 7,319.70 = 3,314.22 : x
  2. Step 2: Convert to fraction form
    5,302.38/7,319.70 = 3,314.22/x
  3. Step 3: Cross multiply
    5,302.38x = 7,319.70 × 3,314.22
  4. Step 4: Simplify right side
    5,302.38x = 24,259,096.13
  5. Step 5: Solve for x
    x = 24,259,096.13/5,302.38
  6. Step 6: Final answer
    x = 4,575.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.