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Finding the Fourth Proportional to 4,502.40, 6,214.13 and 2,825.29

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Solution

The fourth proportional to 4,502.40, 6,214.13 and 2,825.29 is: 3,899.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.40 : 6,214.13 = 2,825.29 : x
  2. Step 2: Convert to fraction form
    4,502.40/6,214.13 = 2,825.29/x
  3. Step 3: Cross multiply
    4,502.40x = 6,214.13 × 2,825.29
  4. Step 4: Simplify right side
    4,502.40x = 17,556,719.35
  5. Step 5: Solve for x
    x = 17,556,719.35/4,502.40
  6. Step 6: Final answer
    x = 3,899.41

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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.