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Finding the Fourth Proportional to 5,258.77, 7,869.64 and 3,285.33

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Solution

The fourth proportional to 5,258.77, 7,869.64 and 3,285.33 is: 4,916.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.77 : 7,869.64 = 3,285.33 : x
  2. Step 2: Convert to fraction form
    5,258.77/7,869.64 = 3,285.33/x
  3. Step 3: Cross multiply
    5,258.77x = 7,869.64 × 3,285.33
  4. Step 4: Simplify right side
    5,258.77x = 25,854,364.38
  5. Step 5: Solve for x
    x = 25,854,364.38/5,258.77
  6. Step 6: Final answer
    x = 4,916.43

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1.5x scale

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.