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Finding the Fourth Proportional to 3,546.38, 4,894.13 and 1,953.22

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Solution

The fourth proportional to 3,546.38, 4,894.13 and 1,953.22 is: 2,695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.38 : 4,894.13 = 1,953.22 : x
  2. Step 2: Convert to fraction form
    3,546.38/4,894.13 = 1,953.22/x
  3. Step 3: Cross multiply
    3,546.38x = 4,894.13 × 1,953.22
  4. Step 4: Simplify right side
    3,546.38x = 9,559,312.60
  5. Step 5: Solve for x
    x = 9,559,312.60/3,546.38
  6. Step 6: Final answer
    x = 2,695.51

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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.