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Finding the Fourth Proportional to 3,710.16, 5,119.56 and 2,053.84

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Solution

The fourth proportional to 3,710.16, 5,119.56 and 2,053.84 is: 2,834.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.16 : 5,119.56 = 2,053.84 : x
  2. Step 2: Convert to fraction form
    3,710.16/5,119.56 = 2,053.84/x
  3. Step 3: Cross multiply
    3,710.16x = 5,119.56 × 2,053.84
  4. Step 4: Simplify right side
    3,710.16x = 10,514,757.11
  5. Step 5: Solve for x
    x = 10,514,757.11/3,710.16
  6. Step 6: Final answer
    x = 2,834.04

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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.