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Finding the Fourth Proportional to 5,701.76, 7,869.10 and 3,463.72

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Solution

The fourth proportional to 5,701.76, 7,869.10 and 3,463.72 is: 4,780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.76 : 7,869.10 = 3,463.72 : x
  2. Step 2: Convert to fraction form
    5,701.76/7,869.10 = 3,463.72/x
  3. Step 3: Cross multiply
    5,701.76x = 7,869.10 × 3,463.72
  4. Step 4: Simplify right side
    5,701.76x = 27,256,359.05
  5. Step 5: Solve for x
    x = 27,256,359.05/5,701.76
  6. Step 6: Final answer
    x = 4,780.34

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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.