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Finding the Fourth Proportional to 2,587.96, 3,896.05 and 2,358.34

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Solution

The fourth proportional to 2,587.96, 3,896.05 and 2,358.34 is: 3,550.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.96 : 3,896.05 = 2,358.34 : x
  2. Step 2: Convert to fraction form
    2,587.96/3,896.05 = 2,358.34/x
  3. Step 3: Cross multiply
    2,587.96x = 3,896.05 × 2,358.34
  4. Step 4: Simplify right side
    2,587.96x = 9,188,210.56
  5. Step 5: Solve for x
    x = 9,188,210.56/2,587.96
  6. Step 6: Final answer
    x = 3,550.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.