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Finding the Fourth Proportional to 5,065.08, 7,597.68 and 1,601.52

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Solution

The fourth proportional to 5,065.08, 7,597.68 and 1,601.52 is: 2,402.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.08 : 7,597.68 = 1,601.52 : x
  2. Step 2: Convert to fraction form
    5,065.08/7,597.68 = 1,601.52/x
  3. Step 3: Cross multiply
    5,065.08x = 7,597.68 × 1,601.52
  4. Step 4: Simplify right side
    5,065.08x = 12,167,836.47
  5. Step 5: Solve for x
    x = 12,167,836.47/5,065.08
  6. Step 6: Final answer
    x = 2,402.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.