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Finding the Fourth Proportional to 2,937, 4,053.06 and 2,689.14

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Solution

The fourth proportional to 2,937, 4,053.06 and 2,689.14 is: 3,711.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937 : 4,053.06 = 2,689.14 : x
  2. Step 2: Convert to fraction form
    2,937/4,053.06 = 2,689.14/x
  3. Step 3: Cross multiply
    2,937x = 4,053.06 × 2,689.14
  4. Step 4: Simplify right side
    2,937x = 10,899,245.77
  5. Step 5: Solve for x
    x = 10,899,245.77/2,937
  6. Step 6: Final answer
    x = 3,711.01

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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.