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Finding the Fourth Proportional to 4,866.16, 6,715.05 and 2,742.04

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Solution

The fourth proportional to 4,866.16, 6,715.05 and 2,742.04 is: 3,783.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.16 : 6,715.05 = 2,742.04 : x
  2. Step 2: Convert to fraction form
    4,866.16/6,715.05 = 2,742.04/x
  3. Step 3: Cross multiply
    4,866.16x = 6,715.05 × 2,742.04
  4. Step 4: Simplify right side
    4,866.16x = 18,412,911.46
  5. Step 5: Solve for x
    x = 18,412,911.46/4,866.16
  6. Step 6: Final answer
    x = 3,783.87

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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.