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Finding the Fourth Proportional to 3,699, 5,103.85 and 2,165.64

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Solution

The fourth proportional to 3,699, 5,103.85 and 2,165.64 is: 2,988.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699 : 5,103.85 = 2,165.64 : x
  2. Step 2: Convert to fraction form
    3,699/5,103.85 = 2,165.64/x
  3. Step 3: Cross multiply
    3,699x = 5,103.85 × 2,165.64
  4. Step 4: Simplify right side
    3,699x = 11,053,101.71
  5. Step 5: Solve for x
    x = 11,053,101.71/3,699
  6. Step 6: Final answer
    x = 2,988.13

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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.