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Finding the Fourth Proportional to 3,698.35, 5,103.77 and 2,207.13

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Solution

The fourth proportional to 3,698.35, 5,103.77 and 2,207.13 is: 3,045.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.35 : 5,103.77 = 2,207.13 : x
  2. Step 2: Convert to fraction form
    3,698.35/5,103.77 = 2,207.13/x
  3. Step 3: Cross multiply
    3,698.35x = 5,103.77 × 2,207.13
  4. Step 4: Simplify right side
    3,698.35x = 11,264,689.40
  5. Step 5: Solve for x
    x = 11,264,689.40/3,698.35
  6. Step 6: Final answer
    x = 3,045.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.