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Finding the Fourth Proportional to 5,070.38, 6,998.36 and 3,082.25

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Solution

The fourth proportional to 5,070.38, 6,998.36 and 3,082.25 is: 4,254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.38 : 6,998.36 = 3,082.25 : x
  2. Step 2: Convert to fraction form
    5,070.38/6,998.36 = 3,082.25/x
  3. Step 3: Cross multiply
    5,070.38x = 6,998.36 × 3,082.25
  4. Step 4: Simplify right side
    5,070.38x = 21,570,697.19
  5. Step 5: Solve for x
    x = 21,570,697.19/5,070.38
  6. Step 6: Final answer
    x = 4,254.26

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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.