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Finding the Fourth Proportional to 4,644.76, 6,413.16 and 2,877.88

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Solution

The fourth proportional to 4,644.76, 6,413.16 and 2,877.88 is: 3,973.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.76 : 6,413.16 = 2,877.88 : x
  2. Step 2: Convert to fraction form
    4,644.76/6,413.16 = 2,877.88/x
  3. Step 3: Cross multiply
    4,644.76x = 6,413.16 × 2,877.88
  4. Step 4: Simplify right side
    4,644.76x = 18,456,304.90
  5. Step 5: Solve for x
    x = 18,456,304.90/4,644.76
  6. Step 6: Final answer
    x = 3,973.58

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1.5x scale

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.