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Finding the Fourth Proportional to 3,498.04, 5,247.87 and 1,157.95

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Solution

The fourth proportional to 3,498.04, 5,247.87 and 1,157.95 is: 1,737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.04 : 5,247.87 = 1,157.95 : x
  2. Step 2: Convert to fraction form
    3,498.04/5,247.87 = 1,157.95/x
  3. Step 3: Cross multiply
    3,498.04x = 5,247.87 × 1,157.95
  4. Step 4: Simplify right side
    3,498.04x = 6,076,771.07
  5. Step 5: Solve for x
    x = 6,076,771.07/3,498.04
  6. Step 6: Final answer
    x = 1,737.19

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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.