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Finding the Fourth Proportional to 3,597.98, 5,395.05 and 1,132.16

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Solution

The fourth proportional to 3,597.98, 5,395.05 and 1,132.16 is: 1,697.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.98 : 5,395.05 = 1,132.16 : x
  2. Step 2: Convert to fraction form
    3,597.98/5,395.05 = 1,132.16/x
  3. Step 3: Cross multiply
    3,597.98x = 5,395.05 × 1,132.16
  4. Step 4: Simplify right side
    3,597.98x = 6,108,032.83
  5. Step 5: Solve for x
    x = 6,108,032.83/3,597.98
  6. Step 6: Final answer
    x = 1,697.63

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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.