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Finding the Fourth Proportional to 3,438.78, 5,155.88 and 1,247.22

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Solution

The fourth proportional to 3,438.78, 5,155.88 and 1,247.22 is: 1,870.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.78 : 5,155.88 = 1,247.22 : x
  2. Step 2: Convert to fraction form
    3,438.78/5,155.88 = 1,247.22/x
  3. Step 3: Cross multiply
    3,438.78x = 5,155.88 × 1,247.22
  4. Step 4: Simplify right side
    3,438.78x = 6,430,528.43
  5. Step 5: Solve for x
    x = 6,430,528.43/3,438.78
  6. Step 6: Final answer
    x = 1,870.00

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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.