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Finding the Fourth Proportional to 3,526.58, 5,289 and 1,447.18

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Solution

The fourth proportional to 3,526.58, 5,289 and 1,447.18 is: 2,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.58 : 5,289 = 1,447.18 : x
  2. Step 2: Convert to fraction form
    3,526.58/5,289 = 1,447.18/x
  3. Step 3: Cross multiply
    3,526.58x = 5,289 × 1,447.18
  4. Step 4: Simplify right side
    3,526.58x = 7,654,108.58
  5. Step 5: Solve for x
    x = 7,654,108.58/3,526.58
  6. Step 6: Final answer
    x = 2,170.41

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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.