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Finding the Fourth Proportional to 3,370.91, 5,053.20 and 1,290.29

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Solution

The fourth proportional to 3,370.91, 5,053.20 and 1,290.29 is: 1,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.91 : 5,053.20 = 1,290.29 : x
  2. Step 2: Convert to fraction form
    3,370.91/5,053.20 = 1,290.29/x
  3. Step 3: Cross multiply
    3,370.91x = 5,053.20 × 1,290.29
  4. Step 4: Simplify right side
    3,370.91x = 6,520,068.16
  5. Step 5: Solve for x
    x = 6,520,068.16/3,370.91
  6. Step 6: Final answer
    x = 1,934.22

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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.