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Finding the Fourth Proportional to 4,167.34, 6,253.47 and 1,536.69

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Solution

The fourth proportional to 4,167.34, 6,253.47 and 1,536.69 is: 2,305.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.34 : 6,253.47 = 1,536.69 : x
  2. Step 2: Convert to fraction form
    4,167.34/6,253.47 = 1,536.69/x
  3. Step 3: Cross multiply
    4,167.34x = 6,253.47 × 1,536.69
  4. Step 4: Simplify right side
    4,167.34x = 9,609,644.81
  5. Step 5: Solve for x
    x = 9,609,644.81/4,167.34
  6. Step 6: Final answer
    x = 2,305.94

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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.