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Finding the Fourth Proportional to 4,258.50, 5,877 and 2,395.50

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Solution

The fourth proportional to 4,258.50, 5,877 and 2,395.50 is: 3,305.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.50 : 5,877 = 2,395.50 : x
  2. Step 2: Convert to fraction form
    4,258.50/5,877 = 2,395.50/x
  3. Step 3: Cross multiply
    4,258.50x = 5,877 × 2,395.50
  4. Step 4: Simplify right side
    4,258.50x = 14,078,353.50
  5. Step 5: Solve for x
    x = 14,078,353.50/4,258.50
  6. Step 6: Final answer
    x = 3,305.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.