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Finding the Fourth Proportional to 5,470.30, 8,209.10 and 4,085.20

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Solution

The fourth proportional to 5,470.30, 8,209.10 and 4,085.20 is: 6,130.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470.30 : 8,209.10 = 4,085.20 : x
  2. Step 2: Convert to fraction form
    5,470.30/8,209.10 = 4,085.20/x
  3. Step 3: Cross multiply
    5,470.30x = 8,209.10 × 4,085.20
  4. Step 4: Simplify right side
    5,470.30x = 33,535,815.32
  5. Step 5: Solve for x
    x = 33,535,815.32/5,470.30
  6. Step 6: Final answer
    x = 6,130.53

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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.