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Finding the Fourth Proportional to 5,570.92, 7,687.86 and 3,053.19

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Solution

The fourth proportional to 5,570.92, 7,687.86 and 3,053.19 is: 4,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.92 : 7,687.86 = 3,053.19 : x
  2. Step 2: Convert to fraction form
    5,570.92/7,687.86 = 3,053.19/x
  3. Step 3: Cross multiply
    5,570.92x = 7,687.86 × 3,053.19
  4. Step 4: Simplify right side
    5,570.92x = 23,472,497.27
  5. Step 5: Solve for x
    x = 23,472,497.27/5,570.92
  6. Step 6: Final answer
    x = 4,213.40

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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.