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Finding the Fourth Proportional to 4,877.76, 6,731.04 and 2,782.24

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Solution

The fourth proportional to 4,877.76, 6,731.04 and 2,782.24 is: 3,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.76 : 6,731.04 = 2,782.24 : x
  2. Step 2: Convert to fraction form
    4,877.76/6,731.04 = 2,782.24/x
  3. Step 3: Cross multiply
    4,877.76x = 6,731.04 × 2,782.24
  4. Step 4: Simplify right side
    4,877.76x = 18,727,368.73
  5. Step 5: Solve for x
    x = 18,727,368.73/4,877.76
  6. Step 6: Final answer
    x = 3,839.34

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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.