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Finding the Fourth Proportional to 4,434.54, 6,638.92 and 2,580

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Solution

The fourth proportional to 4,434.54, 6,638.92 and 2,580 is: 3,862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,434.54 : 6,638.92 = 2,580 : x
  2. Step 2: Convert to fraction form
    4,434.54/6,638.92 = 2,580/x
  3. Step 3: Cross multiply
    4,434.54x = 6,638.92 × 2,580
  4. Step 4: Simplify right side
    4,434.54x = 17,128,413.60
  5. Step 5: Solve for x
    x = 17,128,413.60/4,434.54
  6. Step 6: Final answer
    x = 3,862.50

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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.