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Finding the Fourth Proportional to 5,044.86, 7,567.97 and 1,534.46

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Solution

The fourth proportional to 5,044.86, 7,567.97 and 1,534.46 is: 2,301.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.86 : 7,567.97 = 1,534.46 : x
  2. Step 2: Convert to fraction form
    5,044.86/7,567.97 = 1,534.46/x
  3. Step 3: Cross multiply
    5,044.86x = 7,567.97 × 1,534.46
  4. Step 4: Simplify right side
    5,044.86x = 11,612,701.73
  5. Step 5: Solve for x
    x = 11,612,701.73/5,044.86
  6. Step 6: Final answer
    x = 2,301.89

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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.