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Finding the Fourth Proportional to 3,642.09, 5,026.10 and 2,070.20

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Solution

The fourth proportional to 3,642.09, 5,026.10 and 2,070.20 is: 2,856.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.09 : 5,026.10 = 2,070.20 : x
  2. Step 2: Convert to fraction form
    3,642.09/5,026.10 = 2,070.20/x
  3. Step 3: Cross multiply
    3,642.09x = 5,026.10 × 2,070.20
  4. Step 4: Simplify right side
    3,642.09x = 10,404,996.74
  5. Step 5: Solve for x
    x = 10,404,996.74/3,642.09
  6. Step 6: Final answer
    x = 2,856.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.