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Finding the Fourth Proportional to 5,856.71, 8,786.07 and 2,570.13

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Solution

The fourth proportional to 5,856.71, 8,786.07 and 2,570.13 is: 3,855.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.71 : 8,786.07 = 2,570.13 : x
  2. Step 2: Convert to fraction form
    5,856.71/8,786.07 = 2,570.13/x
  3. Step 3: Cross multiply
    5,856.71x = 8,786.07 × 2,570.13
  4. Step 4: Simplify right side
    5,856.71x = 22,581,342.09
  5. Step 5: Solve for x
    x = 22,581,342.09/5,856.71
  6. Step 6: Final answer
    x = 3,855.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.