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Finding the Fourth Proportional to 3,851.68, 5,778.48 and 1,543.12

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Solution

The fourth proportional to 3,851.68, 5,778.48 and 1,543.12 is: 2,315.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.68 : 5,778.48 = 1,543.12 : x
  2. Step 2: Convert to fraction form
    3,851.68/5,778.48 = 1,543.12/x
  3. Step 3: Cross multiply
    3,851.68x = 5,778.48 × 1,543.12
  4. Step 4: Simplify right side
    3,851.68x = 8,916,888.06
  5. Step 5: Solve for x
    x = 8,916,888.06/3,851.68
  6. Step 6: Final answer
    x = 2,315.06

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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.