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Finding the Fourth Proportional to 3,503.30, 5,254.98 and 1,422.68

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Solution

The fourth proportional to 3,503.30, 5,254.98 and 1,422.68 is: 2,134.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.30 : 5,254.98 = 1,422.68 : x
  2. Step 2: Convert to fraction form
    3,503.30/5,254.98 = 1,422.68/x
  3. Step 3: Cross multiply
    3,503.30x = 5,254.98 × 1,422.68
  4. Step 4: Simplify right side
    3,503.30x = 7,476,154.95
  5. Step 5: Solve for x
    x = 7,476,154.95/3,503.30
  6. Step 6: Final answer
    x = 2,134.03

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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.