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Finding the Fourth Proportional to 5,044.71, 6,965.13 and 3,157.06

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Solution

The fourth proportional to 5,044.71, 6,965.13 and 3,157.06 is: 4,358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.71 : 6,965.13 = 3,157.06 : x
  2. Step 2: Convert to fraction form
    5,044.71/6,965.13 = 3,157.06/x
  3. Step 3: Cross multiply
    5,044.71x = 6,965.13 × 3,157.06
  4. Step 4: Simplify right side
    5,044.71x = 21,989,315.90
  5. Step 5: Solve for x
    x = 21,989,315.90/5,044.71
  6. Step 6: Final answer
    x = 4,358.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.