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Finding the Fourth Proportional to 5,215.62, 7,820.64 and 2,292.42

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Solution

The fourth proportional to 5,215.62, 7,820.64 and 2,292.42 is: 3,437.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.62 : 7,820.64 = 2,292.42 : x
  2. Step 2: Convert to fraction form
    5,215.62/7,820.64 = 2,292.42/x
  3. Step 3: Cross multiply
    5,215.62x = 7,820.64 × 2,292.42
  4. Step 4: Simplify right side
    5,215.62x = 17,928,191.55
  5. Step 5: Solve for x
    x = 17,928,191.55/5,215.62
  6. Step 6: Final answer
    x = 3,437.40

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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.