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Finding the Fourth Proportional to 3,700.48, 5,106.72 and 2,044.48

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Solution

The fourth proportional to 3,700.48, 5,106.72 and 2,044.48 is: 2,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.48 : 5,106.72 = 2,044.48 : x
  2. Step 2: Convert to fraction form
    3,700.48/5,106.72 = 2,044.48/x
  3. Step 3: Cross multiply
    3,700.48x = 5,106.72 × 2,044.48
  4. Step 4: Simplify right side
    3,700.48x = 10,440,586.91
  5. Step 5: Solve for x
    x = 10,440,586.91/3,700.48
  6. Step 6: Final answer
    x = 2,821.41

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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.