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Finding the Fourth Proportional to 3,498.55, 5,246.71 and 1,158.12

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Solution

The fourth proportional to 3,498.55, 5,246.71 and 1,158.12 is: 1,736.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.55 : 5,246.71 = 1,158.12 : x
  2. Step 2: Convert to fraction form
    3,498.55/5,246.71 = 1,158.12/x
  3. Step 3: Cross multiply
    3,498.55x = 5,246.71 × 1,158.12
  4. Step 4: Simplify right side
    3,498.55x = 6,076,319.79
  5. Step 5: Solve for x
    x = 6,076,319.79/3,498.55
  6. Step 6: Final answer
    x = 1,736.81

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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.