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Finding the Fourth Proportional to 3,497.80, 5,247.04 and 1,156.84

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Solution

The fourth proportional to 3,497.80, 5,247.04 and 1,156.84 is: 1,735.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.80 : 5,247.04 = 1,156.84 : x
  2. Step 2: Convert to fraction form
    3,497.80/5,247.04 = 1,156.84/x
  3. Step 3: Cross multiply
    3,497.80x = 5,247.04 × 1,156.84
  4. Step 4: Simplify right side
    3,497.80x = 6,069,985.75
  5. Step 5: Solve for x
    x = 6,069,985.75/3,497.80
  6. Step 6: Final answer
    x = 1,735.37

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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.