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Finding the Fourth Proportional to 3,470.19, 5,212.14 and 2,980.61

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Solution

The fourth proportional to 3,470.19, 5,212.14 and 2,980.61 is: 4,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.19 : 5,212.14 = 2,980.61 : x
  2. Step 2: Convert to fraction form
    3,470.19/5,212.14 = 2,980.61/x
  3. Step 3: Cross multiply
    3,470.19x = 5,212.14 × 2,980.61
  4. Step 4: Simplify right side
    3,470.19x = 15,535,356.61
  5. Step 5: Solve for x
    x = 15,535,356.61/3,470.19
  6. Step 6: Final answer
    x = 4,476.80

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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.