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Finding the Fourth Proportional to 3,546.77, 4,894.55 and 1,953.38

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Solution

The fourth proportional to 3,546.77, 4,894.55 and 1,953.38 is: 2,695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.77 : 4,894.55 = 1,953.38 : x
  2. Step 2: Convert to fraction form
    3,546.77/4,894.55 = 1,953.38/x
  3. Step 3: Cross multiply
    3,546.77x = 4,894.55 × 1,953.38
  4. Step 4: Simplify right side
    3,546.77x = 9,560,881.84
  5. Step 5: Solve for x
    x = 9,560,881.84/3,546.77
  6. Step 6: Final answer
    x = 2,695.66

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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.