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Finding the Fourth Proportional to 4,306.91, 6,458.52 and 1,636.74

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Solution

The fourth proportional to 4,306.91, 6,458.52 and 1,636.74 is: 2,454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.91 : 6,458.52 = 1,636.74 : x
  2. Step 2: Convert to fraction form
    4,306.91/6,458.52 = 1,636.74/x
  3. Step 3: Cross multiply
    4,306.91x = 6,458.52 × 1,636.74
  4. Step 4: Simplify right side
    4,306.91x = 10,570,918.02
  5. Step 5: Solve for x
    x = 10,570,918.02/4,306.91
  6. Step 6: Final answer
    x = 2,454.41

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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.