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Finding the Fourth Proportional to 3,862.34, 5,326.38 and 2,603.60

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Solution

The fourth proportional to 3,862.34, 5,326.38 and 2,603.60 is: 3,590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.34 : 5,326.38 = 2,603.60 : x
  2. Step 2: Convert to fraction form
    3,862.34/5,326.38 = 2,603.60/x
  3. Step 3: Cross multiply
    3,862.34x = 5,326.38 × 2,603.60
  4. Step 4: Simplify right side
    3,862.34x = 13,867,762.97
  5. Step 5: Solve for x
    x = 13,867,762.97/3,862.34
  6. Step 6: Final answer
    x = 3,590.51

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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.