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Finding the Fourth Proportional to 3,470.51, 5,204.45 and 1,129.90

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Solution

The fourth proportional to 3,470.51, 5,204.45 and 1,129.90 is: 1,694.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.51 : 5,204.45 = 1,129.90 : x
  2. Step 2: Convert to fraction form
    3,470.51/5,204.45 = 1,129.90/x
  3. Step 3: Cross multiply
    3,470.51x = 5,204.45 × 1,129.90
  4. Step 4: Simplify right side
    3,470.51x = 5,880,508.06
  5. Step 5: Solve for x
    x = 5,880,508.06/3,470.51
  6. Step 6: Final answer
    x = 1,694.42

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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.