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Finding the Fourth Proportional to 5,219.64, 7,200.09 and 3,122.55

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Solution

The fourth proportional to 5,219.64, 7,200.09 and 3,122.55 is: 4,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.64 : 7,200.09 = 3,122.55 : x
  2. Step 2: Convert to fraction form
    5,219.64/7,200.09 = 3,122.55/x
  3. Step 3: Cross multiply
    5,219.64x = 7,200.09 × 3,122.55
  4. Step 4: Simplify right side
    5,219.64x = 22,482,641.03
  5. Step 5: Solve for x
    x = 22,482,641.03/5,219.64
  6. Step 6: Final answer
    x = 4,307.32

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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.