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Finding the Fourth Proportional to 5,246, 7,239.48 and 3,150.14

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Solution

The fourth proportional to 5,246, 7,239.48 and 3,150.14 is: 4,347.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246 : 7,239.48 = 3,150.14 : x
  2. Step 2: Convert to fraction form
    5,246/7,239.48 = 3,150.14/x
  3. Step 3: Cross multiply
    5,246x = 7,239.48 × 3,150.14
  4. Step 4: Simplify right side
    5,246x = 22,805,375.53
  5. Step 5: Solve for x
    x = 22,805,375.53/5,246
  6. Step 6: Final answer
    x = 4,347.19

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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.