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Finding the Fourth Proportional to 4,146.06, 5,721.45 and 2,283.06

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Solution

The fourth proportional to 4,146.06, 5,721.45 and 2,283.06 is: 3,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.06 : 5,721.45 = 2,283.06 : x
  2. Step 2: Convert to fraction form
    4,146.06/5,721.45 = 2,283.06/x
  3. Step 3: Cross multiply
    4,146.06x = 5,721.45 × 2,283.06
  4. Step 4: Simplify right side
    4,146.06x = 13,062,413.64
  5. Step 5: Solve for x
    x = 13,062,413.64/4,146.06
  6. Step 6: Final answer
    x = 3,150.56

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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.