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Finding the Fourth Proportional to 4,610.58, 6,915.85 and 1,147.83

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Solution

The fourth proportional to 4,610.58, 6,915.85 and 1,147.83 is: 1,721.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,610.58 : 6,915.85 = 1,147.83 : x
  2. Step 2: Convert to fraction form
    4,610.58/6,915.85 = 1,147.83/x
  3. Step 3: Cross multiply
    4,610.58x = 6,915.85 × 1,147.83
  4. Step 4: Simplify right side
    4,610.58x = 7,938,220.11
  5. Step 5: Solve for x
    x = 7,938,220.11/4,610.58
  6. Step 6: Final answer
    x = 1,721.74

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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.