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Finding the Fourth Proportional to 3,718.78, 5,573.40 and 1,524.88

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Solution

The fourth proportional to 3,718.78, 5,573.40 and 1,524.88 is: 2,285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.78 : 5,573.40 = 1,524.88 : x
  2. Step 2: Convert to fraction form
    3,718.78/5,573.40 = 1,524.88/x
  3. Step 3: Cross multiply
    3,718.78x = 5,573.40 × 1,524.88
  4. Step 4: Simplify right side
    3,718.78x = 8,498,766.19
  5. Step 5: Solve for x
    x = 8,498,766.19/3,718.78
  6. Step 6: Final answer
    x = 2,285.36

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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.