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Finding the Fourth Proportional to 5,338.28, 8,011.50 and 2,875.16

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Solution

The fourth proportional to 5,338.28, 8,011.50 and 2,875.16 is: 4,314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.28 : 8,011.50 = 2,875.16 : x
  2. Step 2: Convert to fraction form
    5,338.28/8,011.50 = 2,875.16/x
  3. Step 3: Cross multiply
    5,338.28x = 8,011.50 × 2,875.16
  4. Step 4: Simplify right side
    5,338.28x = 23,034,344.34
  5. Step 5: Solve for x
    x = 23,034,344.34/5,338.28
  6. Step 6: Final answer
    x = 4,314.94

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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.