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Finding the Fourth Proportional to 3,612.64, 4,985.43 and 1,956.64

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Solution

The fourth proportional to 3,612.64, 4,985.43 and 1,956.64 is: 2,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.64 : 4,985.43 = 1,956.64 : x
  2. Step 2: Convert to fraction form
    3,612.64/4,985.43 = 1,956.64/x
  3. Step 3: Cross multiply
    3,612.64x = 4,985.43 × 1,956.64
  4. Step 4: Simplify right side
    3,612.64x = 9,754,681.97
  5. Step 5: Solve for x
    x = 9,754,681.97/3,612.64
  6. Step 6: Final answer
    x = 2,700.15

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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.