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Finding the Fourth Proportional to 5,412.76, 8,118.43 and 1,902.49

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Solution

The fourth proportional to 5,412.76, 8,118.43 and 1,902.49 is: 2,853.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.76 : 8,118.43 = 1,902.49 : x
  2. Step 2: Convert to fraction form
    5,412.76/8,118.43 = 1,902.49/x
  3. Step 3: Cross multiply
    5,412.76x = 8,118.43 × 1,902.49
  4. Step 4: Simplify right side
    5,412.76x = 15,445,206.84
  5. Step 5: Solve for x
    x = 15,445,206.84/5,412.76
  6. Step 6: Final answer
    x = 2,853.48

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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.