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Finding the Fourth Proportional to 4,871.38, 6,722.50 and 2,775.50

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Solution

The fourth proportional to 4,871.38, 6,722.50 and 2,775.50 is: 3,830.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.38 : 6,722.50 = 2,775.50 : x
  2. Step 2: Convert to fraction form
    4,871.38/6,722.50 = 2,775.50/x
  3. Step 3: Cross multiply
    4,871.38x = 6,722.50 × 2,775.50
  4. Step 4: Simplify right side
    4,871.38x = 18,658,298.75
  5. Step 5: Solve for x
    x = 18,658,298.75/4,871.38
  6. Step 6: Final answer
    x = 3,830.19

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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.