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Finding the Fourth Proportional to 4,838.76, 6,677.64 and 2,743.20

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Solution

The fourth proportional to 4,838.76, 6,677.64 and 2,743.20 is: 3,785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.76 : 6,677.64 = 2,743.20 : x
  2. Step 2: Convert to fraction form
    4,838.76/6,677.64 = 2,743.20/x
  3. Step 3: Cross multiply
    4,838.76x = 6,677.64 × 2,743.20
  4. Step 4: Simplify right side
    4,838.76x = 18,318,102.05
  5. Step 5: Solve for x
    x = 18,318,102.05/4,838.76
  6. Step 6: Final answer
    x = 3,785.70

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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.