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Finding the Fourth Proportional to 5,146.41, 7,102.41 and 2,908.49

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Solution

The fourth proportional to 5,146.41, 7,102.41 and 2,908.49 is: 4,013.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.41 : 7,102.41 = 2,908.49 : x
  2. Step 2: Convert to fraction form
    5,146.41/7,102.41 = 2,908.49/x
  3. Step 3: Cross multiply
    5,146.41x = 7,102.41 × 2,908.49
  4. Step 4: Simplify right side
    5,146.41x = 20,657,306.22
  5. Step 5: Solve for x
    x = 20,657,306.22/5,146.41
  6. Step 6: Final answer
    x = 4,013.93

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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.