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Finding the Fourth Proportional to 5,405.20, 8,098.20 and 4,637.20

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Solution

The fourth proportional to 5,405.20, 8,098.20 and 4,637.20 is: 6,947.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.20 : 8,098.20 = 4,637.20 : x
  2. Step 2: Convert to fraction form
    5,405.20/8,098.20 = 4,637.20/x
  3. Step 3: Cross multiply
    5,405.20x = 8,098.20 × 4,637.20
  4. Step 4: Simplify right side
    5,405.20x = 37,552,973.04
  5. Step 5: Solve for x
    x = 37,552,973.04/5,405.20
  6. Step 6: Final answer
    x = 6,947.56

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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.