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Finding the Fourth Proportional to 5,470.28, 8,203.70 and 1,771.65

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Solution

The fourth proportional to 5,470.28, 8,203.70 and 1,771.65 is: 2,656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.28 : 8,203.70 = 1,771.65 : x
  2. Step 2: Convert to fraction form
    5,470.28/8,203.70 = 1,771.65/x
  3. Step 3: Cross multiply
    5,470.28x = 8,203.70 × 1,771.65
  4. Step 4: Simplify right side
    5,470.28x = 14,534,096.76
  5. Step 5: Solve for x
    x = 14,534,096.76/5,470.28
  6. Step 6: Final answer
    x = 2,656.92

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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.