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Finding the Fourth Proportional to 4,523.52, 6,785.88 and 1,601.28

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Solution

The fourth proportional to 4,523.52, 6,785.88 and 1,601.28 is: 2,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,523.52 : 6,785.88 = 1,601.28 : x
  2. Step 2: Convert to fraction form
    4,523.52/6,785.88 = 1,601.28/x
  3. Step 3: Cross multiply
    4,523.52x = 6,785.88 × 1,601.28
  4. Step 4: Simplify right side
    4,523.52x = 10,866,093.93
  5. Step 5: Solve for x
    x = 10,866,093.93/4,523.52
  6. Step 6: Final answer
    x = 2,402.13

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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.