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Finding the Fourth Proportional to 3,546.84, 4,894.60 and 1,953.46

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Solution

The fourth proportional to 3,546.84, 4,894.60 and 1,953.46 is: 2,695.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.84 : 4,894.60 = 1,953.46 : x
  2. Step 2: Convert to fraction form
    3,546.84/4,894.60 = 1,953.46/x
  3. Step 3: Cross multiply
    3,546.84x = 4,894.60 × 1,953.46
  4. Step 4: Simplify right side
    3,546.84x = 9,561,410.20
  5. Step 5: Solve for x
    x = 9,561,410.20/3,546.84
  6. Step 6: Final answer
    x = 2,695.75

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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.