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Finding the Fourth Proportional to 3,877.86, 5,816.76 and 956.19

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Solution

The fourth proportional to 3,877.86, 5,816.76 and 956.19 is: 1,434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.86 : 5,816.76 = 956.19 : x
  2. Step 2: Convert to fraction form
    3,877.86/5,816.76 = 956.19/x
  3. Step 3: Cross multiply
    3,877.86x = 5,816.76 × 956.19
  4. Step 4: Simplify right side
    3,877.86x = 5,561,927.74
  5. Step 5: Solve for x
    x = 5,561,927.74/3,877.86
  6. Step 6: Final answer
    x = 1,434.28

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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.