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Finding the Fourth Proportional to 5,470.40, 8,203.88 and 1,771.78

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Solution

The fourth proportional to 5,470.40, 8,203.88 and 1,771.78 is: 2,657.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.40 : 8,203.88 = 1,771.78 : x
  2. Step 2: Convert to fraction form
    5,470.40/8,203.88 = 1,771.78/x
  3. Step 3: Cross multiply
    5,470.40x = 8,203.88 × 1,771.78
  4. Step 4: Simplify right side
    5,470.40x = 14,535,454.43
  5. Step 5: Solve for x
    x = 14,535,454.43/5,470.40
  6. Step 6: Final answer
    x = 2,657.11

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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.