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Finding the Fourth Proportional to 3,703.13, 5,110.32 and 2,047.13

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Solution

The fourth proportional to 3,703.13, 5,110.32 and 2,047.13 is: 2,825.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.13 : 5,110.32 = 2,047.13 : x
  2. Step 2: Convert to fraction form
    3,703.13/5,110.32 = 2,047.13/x
  3. Step 3: Cross multiply
    3,703.13x = 5,110.32 × 2,047.13
  4. Step 4: Simplify right side
    3,703.13x = 10,461,489.38
  5. Step 5: Solve for x
    x = 10,461,489.38/3,703.13
  6. Step 6: Final answer
    x = 2,825.04

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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.