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Finding the Fourth Proportional to 3,454.42, 5,180.85 and 988.72

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Solution

The fourth proportional to 3,454.42, 5,180.85 and 988.72 is: 1,482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.42 : 5,180.85 = 988.72 : x
  2. Step 2: Convert to fraction form
    3,454.42/5,180.85 = 988.72/x
  3. Step 3: Cross multiply
    3,454.42x = 5,180.85 × 988.72
  4. Step 4: Simplify right side
    3,454.42x = 5,122,410.01
  5. Step 5: Solve for x
    x = 5,122,410.01/3,454.42
  6. Step 6: Final answer
    x = 1,482.86

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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.