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Finding the Fourth Proportional to 3,340.34, 5,008.08 and 2,762

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Solution

The fourth proportional to 3,340.34, 5,008.08 and 2,762 is: 4,140.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.34 : 5,008.08 = 2,762 : x
  2. Step 2: Convert to fraction form
    3,340.34/5,008.08 = 2,762/x
  3. Step 3: Cross multiply
    3,340.34x = 5,008.08 × 2,762
  4. Step 4: Simplify right side
    3,340.34x = 13,832,316.96
  5. Step 5: Solve for x
    x = 13,832,316.96/3,340.34
  6. Step 6: Final answer
    x = 4,140.99

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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.