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Finding the Fourth Proportional to 3,353.64, 5,026.50 and 1,159.80

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Solution

The fourth proportional to 3,353.64, 5,026.50 and 1,159.80 is: 1,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,353.64 : 5,026.50 = 1,159.80 : x
  2. Step 2: Convert to fraction form
    3,353.64/5,026.50 = 1,159.80/x
  3. Step 3: Cross multiply
    3,353.64x = 5,026.50 × 1,159.80
  4. Step 4: Simplify right side
    3,353.64x = 5,829,734.70
  5. Step 5: Solve for x
    x = 5,829,734.70/3,353.64
  6. Step 6: Final answer
    x = 1,738.33

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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.