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Finding the Fourth Proportional to 3,503.39, 5,254.67 and 1,421.28

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Solution

The fourth proportional to 3,503.39, 5,254.67 and 1,421.28 is: 2,131.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.39 : 5,254.67 = 1,421.28 : x
  2. Step 2: Convert to fraction form
    3,503.39/5,254.67 = 1,421.28/x
  3. Step 3: Cross multiply
    3,503.39x = 5,254.67 × 1,421.28
  4. Step 4: Simplify right side
    3,503.39x = 7,468,360.93
  5. Step 5: Solve for x
    x = 7,468,360.93/3,503.39
  6. Step 6: Final answer
    x = 2,131.76

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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.