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Finding the Fourth Proportional to 3,632.16, 5,014.80 and 2,452.80

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Solution

The fourth proportional to 3,632.16, 5,014.80 and 2,452.80 is: 3,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.16 : 5,014.80 = 2,452.80 : x
  2. Step 2: Convert to fraction form
    3,632.16/5,014.80 = 2,452.80/x
  3. Step 3: Cross multiply
    3,632.16x = 5,014.80 × 2,452.80
  4. Step 4: Simplify right side
    3,632.16x = 12,300,301.44
  5. Step 5: Solve for x
    x = 12,300,301.44/3,632.16
  6. Step 6: Final answer
    x = 3,386.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.