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Finding the Fourth Proportional to 3,570.55, 5,358.06 and 2,570

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Solution

The fourth proportional to 3,570.55, 5,358.06 and 2,570 is: 3,856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.55 : 5,358.06 = 2,570 : x
  2. Step 2: Convert to fraction form
    3,570.55/5,358.06 = 2,570/x
  3. Step 3: Cross multiply
    3,570.55x = 5,358.06 × 2,570
  4. Step 4: Simplify right side
    3,570.55x = 13,770,214.20
  5. Step 5: Solve for x
    x = 13,770,214.20/3,570.55
  6. Step 6: Final answer
    x = 3,856.61

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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.