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Finding the Fourth Proportional to 5,378.62, 7,415.46 and 3,886.89

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Solution

The fourth proportional to 5,378.62, 7,415.46 and 3,886.89 is: 5,358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.62 : 7,415.46 = 3,886.89 : x
  2. Step 2: Convert to fraction form
    5,378.62/7,415.46 = 3,886.89/x
  3. Step 3: Cross multiply
    5,378.62x = 7,415.46 × 3,886.89
  4. Step 4: Simplify right side
    5,378.62x = 28,823,077.32
  5. Step 5: Solve for x
    x = 28,823,077.32/5,378.62
  6. Step 6: Final answer
    x = 5,358.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.