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Finding the Fourth Proportional to 5,064.52, 7,597.92 and 1,601.56

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Solution

The fourth proportional to 5,064.52, 7,597.92 and 1,601.56 is: 2,402.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.52 : 7,597.92 = 1,601.56 : x
  2. Step 2: Convert to fraction form
    5,064.52/7,597.92 = 1,601.56/x
  3. Step 3: Cross multiply
    5,064.52x = 7,597.92 × 1,601.56
  4. Step 4: Simplify right side
    5,064.52x = 12,168,524.76
  5. Step 5: Solve for x
    x = 12,168,524.76/5,064.52
  6. Step 6: Final answer
    x = 2,402.70

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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.