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Finding the Fourth Proportional to 4,167.57, 6,253.82 and 1,536.91

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Solution

The fourth proportional to 4,167.57, 6,253.82 and 1,536.91 is: 2,306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.57 : 6,253.82 = 1,536.91 : x
  2. Step 2: Convert to fraction form
    4,167.57/6,253.82 = 1,536.91/x
  3. Step 3: Cross multiply
    4,167.57x = 6,253.82 × 1,536.91
  4. Step 4: Simplify right side
    4,167.57x = 9,611,550.81
  5. Step 5: Solve for x
    x = 9,611,550.81/4,167.57
  6. Step 6: Final answer
    x = 2,306.27

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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.