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Finding the Fourth Proportional to 3,390.02, 5,071.17 and 2,562.14

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Solution

The fourth proportional to 3,390.02, 5,071.17 and 2,562.14 is: 3,832.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.02 : 5,071.17 = 2,562.14 : x
  2. Step 2: Convert to fraction form
    3,390.02/5,071.17 = 2,562.14/x
  3. Step 3: Cross multiply
    3,390.02x = 5,071.17 × 2,562.14
  4. Step 4: Simplify right side
    3,390.02x = 12,993,047.50
  5. Step 5: Solve for x
    x = 12,993,047.50/3,390.02
  6. Step 6: Final answer
    x = 3,832.73

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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.