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Finding the Fourth Proportional to 3,258.94, 4,875.99 and 2,865.82

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Solution

The fourth proportional to 3,258.94, 4,875.99 and 2,865.82 is: 4,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.94 : 4,875.99 = 2,865.82 : x
  2. Step 2: Convert to fraction form
    3,258.94/4,875.99 = 2,865.82/x
  3. Step 3: Cross multiply
    3,258.94x = 4,875.99 × 2,865.82
  4. Step 4: Simplify right side
    3,258.94x = 13,973,709.66
  5. Step 5: Solve for x
    x = 13,973,709.66/3,258.94
  6. Step 6: Final answer
    x = 4,287.81

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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.