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Finding the Fourth Proportional to 5,422.55, 7,482.27 and 3,184.21

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Solution

The fourth proportional to 5,422.55, 7,482.27 and 3,184.21 is: 4,393.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.55 : 7,482.27 = 3,184.21 : x
  2. Step 2: Convert to fraction form
    5,422.55/7,482.27 = 3,184.21/x
  3. Step 3: Cross multiply
    5,422.55x = 7,482.27 × 3,184.21
  4. Step 4: Simplify right side
    5,422.55x = 23,825,140.25
  5. Step 5: Solve for x
    x = 23,825,140.25/5,422.55
  6. Step 6: Final answer
    x = 4,393.72

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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.