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Finding the Fourth Proportional to 5,031.54, 7,543.99 and 2,254.41

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Solution

The fourth proportional to 5,031.54, 7,543.99 and 2,254.41 is: 3,380.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,031.54 : 7,543.99 = 2,254.41 : x
  2. Step 2: Convert to fraction form
    5,031.54/7,543.99 = 2,254.41/x
  3. Step 3: Cross multiply
    5,031.54x = 7,543.99 × 2,254.41
  4. Step 4: Simplify right side
    5,031.54x = 17,007,246.50
  5. Step 5: Solve for x
    x = 17,007,246.50/5,031.54
  6. Step 6: Final answer
    x = 3,380.13

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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.