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Finding the Fourth Proportional to 5,191.90, 7,787.04 and 1,903.30

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Solution

The fourth proportional to 5,191.90, 7,787.04 and 1,903.30 is: 2,854.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.90 : 7,787.04 = 1,903.30 : x
  2. Step 2: Convert to fraction form
    5,191.90/7,787.04 = 1,903.30/x
  3. Step 3: Cross multiply
    5,191.90x = 7,787.04 × 1,903.30
  4. Step 4: Simplify right side
    5,191.90x = 14,821,073.23
  5. Step 5: Solve for x
    x = 14,821,073.23/5,191.90
  6. Step 6: Final answer
    x = 2,854.65

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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.