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Finding the Fourth Proportional to 4,129.26, 6,192 and 1,530.38

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Solution

The fourth proportional to 4,129.26, 6,192 and 1,530.38 is: 2,294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.26 : 6,192 = 1,530.38 : x
  2. Step 2: Convert to fraction form
    4,129.26/6,192 = 1,530.38/x
  3. Step 3: Cross multiply
    4,129.26x = 6,192 × 1,530.38
  4. Step 4: Simplify right side
    4,129.26x = 9,476,082
  5. Step 5: Solve for x
    x = 9,476,082/4,129.26
  6. Step 6: Final answer
    x = 2,294.86

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