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Finding the Fourth Proportional to 4,597.31, 6,894.68 and 1,635.38

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Solution

The fourth proportional to 4,597.31, 6,894.68 and 1,635.38 is: 2,452.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.31 : 6,894.68 = 1,635.38 : x
  2. Step 2: Convert to fraction form
    4,597.31/6,894.68 = 1,635.38/x
  3. Step 3: Cross multiply
    4,597.31x = 6,894.68 × 1,635.38
  4. Step 4: Simplify right side
    4,597.31x = 11,275,421.78
  5. Step 5: Solve for x
    x = 11,275,421.78/4,597.31
  6. Step 6: Final answer
    x = 2,452.61

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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.