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Finding the Fourth Proportional to 3,877.76, 5,816.56 and 956.08

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Solution

The fourth proportional to 3,877.76, 5,816.56 and 956.08 is: 1,434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.76 : 5,816.56 = 956.08 : x
  2. Step 2: Convert to fraction form
    3,877.76/5,816.56 = 956.08/x
  3. Step 3: Cross multiply
    3,877.76x = 5,816.56 × 956.08
  4. Step 4: Simplify right side
    3,877.76x = 5,561,096.68
  5. Step 5: Solve for x
    x = 5,561,096.68/3,877.76
  6. Step 6: Final answer
    x = 1,434.10

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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.