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Finding the Fourth Proportional to 3,146.47, 4,738.44 and 2,740.51

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Solution

The fourth proportional to 3,146.47, 4,738.44 and 2,740.51 is: 4,127.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.47 : 4,738.44 = 2,740.51 : x
  2. Step 2: Convert to fraction form
    3,146.47/4,738.44 = 2,740.51/x
  3. Step 3: Cross multiply
    3,146.47x = 4,738.44 × 2,740.51
  4. Step 4: Simplify right side
    3,146.47x = 12,985,757.36
  5. Step 5: Solve for x
    x = 12,985,757.36/3,146.47
  6. Step 6: Final answer
    x = 4,127.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.