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Finding the Fourth Proportional to 3,552.68, 5,328.16 and 1,577.22

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Solution

The fourth proportional to 3,552.68, 5,328.16 and 1,577.22 is: 2,365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,552.68 : 5,328.16 = 1,577.22 : x
  2. Step 2: Convert to fraction form
    3,552.68/5,328.16 = 1,577.22/x
  3. Step 3: Cross multiply
    3,552.68x = 5,328.16 × 1,577.22
  4. Step 4: Simplify right side
    3,552.68x = 8,403,680.52
  5. Step 5: Solve for x
    x = 8,403,680.52/3,552.68
  6. Step 6: Final answer
    x = 2,365.45

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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.