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Finding the Fourth Proportional to 3,498.74, 5,247.64 and 1,158.16

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Solution

The fourth proportional to 3,498.74, 5,247.64 and 1,158.16 is: 1,737.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.74 : 5,247.64 = 1,158.16 : x
  2. Step 2: Convert to fraction form
    3,498.74/5,247.64 = 1,158.16/x
  3. Step 3: Cross multiply
    3,498.74x = 5,247.64 × 1,158.16
  4. Step 4: Simplify right side
    3,498.74x = 6,077,615.55
  5. Step 5: Solve for x
    x = 6,077,615.55/3,498.74
  6. Step 6: Final answer
    x = 1,737.09

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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.