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Finding the Fourth Proportional to 4,851.62, 7,277.49 and 1,564.73

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Solution

The fourth proportional to 4,851.62, 7,277.49 and 1,564.73 is: 2,347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851.62 : 7,277.49 = 1,564.73 : x
  2. Step 2: Convert to fraction form
    4,851.62/7,277.49 = 1,564.73/x
  3. Step 3: Cross multiply
    4,851.62x = 7,277.49 × 1,564.73
  4. Step 4: Simplify right side
    4,851.62x = 11,387,306.93
  5. Step 5: Solve for x
    x = 11,387,306.93/4,851.62
  6. Step 6: Final answer
    x = 2,347.11

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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.