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Finding the Fourth Proportional to 4,610.52, 6,915.79 and 1,147.77

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Solution

The fourth proportional to 4,610.52, 6,915.79 and 1,147.77 is: 1,721.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.52 : 6,915.79 = 1,147.77 : x
  2. Step 2: Convert to fraction form
    4,610.52/6,915.79 = 1,147.77/x
  3. Step 3: Cross multiply
    4,610.52x = 6,915.79 × 1,147.77
  4. Step 4: Simplify right side
    4,610.52x = 7,937,736.29
  5. Step 5: Solve for x
    x = 7,937,736.29/4,610.52
  6. Step 6: Final answer
    x = 1,721.66

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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.