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Finding the Fourth Proportional to 5,209.47, 7,178.63 and 4,422.15

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Solution

The fourth proportional to 5,209.47, 7,178.63 and 4,422.15 is: 6,093.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.47 : 7,178.63 = 4,422.15 : x
  2. Step 2: Convert to fraction form
    5,209.47/7,178.63 = 4,422.15/x
  3. Step 3: Cross multiply
    5,209.47x = 7,178.63 × 4,422.15
  4. Step 4: Simplify right side
    5,209.47x = 31,744,956.54
  5. Step 5: Solve for x
    x = 31,744,956.54/5,209.47
  6. Step 6: Final answer
    x = 6,093.70

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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.