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Finding the Fourth Proportional to 4,657.48, 6,986.15 and 1,147.53

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Solution

The fourth proportional to 4,657.48, 6,986.15 and 1,147.53 is: 1,721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.48 : 6,986.15 = 1,147.53 : x
  2. Step 2: Convert to fraction form
    4,657.48/6,986.15 = 1,147.53/x
  3. Step 3: Cross multiply
    4,657.48x = 6,986.15 × 1,147.53
  4. Step 4: Simplify right side
    4,657.48x = 8,016,816.71
  5. Step 5: Solve for x
    x = 8,016,816.71/4,657.48
  6. Step 6: Final answer
    x = 1,721.28

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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.