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Finding the Fourth Proportional to 3,813.95, 5,258.85 and 2,801.06

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Solution

The fourth proportional to 3,813.95, 5,258.85 and 2,801.06 is: 3,862.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.95 : 5,258.85 = 2,801.06 : x
  2. Step 2: Convert to fraction form
    3,813.95/5,258.85 = 2,801.06/x
  3. Step 3: Cross multiply
    3,813.95x = 5,258.85 × 2,801.06
  4. Step 4: Simplify right side
    3,813.95x = 14,730,354.38
  5. Step 5: Solve for x
    x = 14,730,354.38/3,813.95
  6. Step 6: Final answer
    x = 3,862.23

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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.