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Finding the Fourth Proportional to 3,509.31, 5,264.95 and 1,044.22

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Solution

The fourth proportional to 3,509.31, 5,264.95 and 1,044.22 is: 1,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.31 : 5,264.95 = 1,044.22 : x
  2. Step 2: Convert to fraction form
    3,509.31/5,264.95 = 1,044.22/x
  3. Step 3: Cross multiply
    3,509.31x = 5,264.95 × 1,044.22
  4. Step 4: Simplify right side
    3,509.31x = 5,497,766.09
  5. Step 5: Solve for x
    x = 5,497,766.09/3,509.31
  6. Step 6: Final answer
    x = 1,566.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.