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Finding the Fourth Proportional to 4,258, 5,876.40 and 2,395.36

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Solution

The fourth proportional to 4,258, 5,876.40 and 2,395.36 is: 3,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258 : 5,876.40 = 2,395.36 : x
  2. Step 2: Convert to fraction form
    4,258/5,876.40 = 2,395.36/x
  3. Step 3: Cross multiply
    4,258x = 5,876.40 × 2,395.36
  4. Step 4: Simplify right side
    4,258x = 14,076,093.50
  5. Step 5: Solve for x
    x = 14,076,093.50/4,258
  6. Step 6: Final answer
    x = 3,305.80

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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.