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Finding the Fourth Proportional to 3,528.66, 4,869.51 and 1,956.66

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Solution

The fourth proportional to 3,528.66, 4,869.51 and 1,956.66 is: 2,700.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528.66 : 4,869.51 = 1,956.66 : x
  2. Step 2: Convert to fraction form
    3,528.66/4,869.51 = 1,956.66/x
  3. Step 3: Cross multiply
    3,528.66x = 4,869.51 × 1,956.66
  4. Step 4: Simplify right side
    3,528.66x = 9,527,975.44
  5. Step 5: Solve for x
    x = 9,527,975.44/3,528.66
  6. Step 6: Final answer
    x = 2,700.17

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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.