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Finding the Fourth Proportional to 4,913.74, 7,375.47 and 2,318.50

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Solution

The fourth proportional to 4,913.74, 7,375.47 and 2,318.50 is: 3,480.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.74 : 7,375.47 = 2,318.50 : x
  2. Step 2: Convert to fraction form
    4,913.74/7,375.47 = 2,318.50/x
  3. Step 3: Cross multiply
    4,913.74x = 7,375.47 × 2,318.50
  4. Step 4: Simplify right side
    4,913.74x = 17,100,027.20
  5. Step 5: Solve for x
    x = 17,100,027.20/4,913.74
  6. Step 6: Final answer
    x = 3,480.04

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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.