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Finding the Fourth Proportional to 5,062.76, 7,592.22 and 2,429.48

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Solution

The fourth proportional to 5,062.76, 7,592.22 and 2,429.48 is: 3,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.76 : 7,592.22 = 2,429.48 : x
  2. Step 2: Convert to fraction form
    5,062.76/7,592.22 = 2,429.48/x
  3. Step 3: Cross multiply
    5,062.76x = 7,592.22 × 2,429.48
  4. Step 4: Simplify right side
    5,062.76x = 18,445,146.65
  5. Step 5: Solve for x
    x = 18,445,146.65/5,062.76
  6. Step 6: Final answer
    x = 3,643.30

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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.