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Finding the Fourth Proportional to 3,698.06, 5,103.35 and 2,126.17

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Solution

The fourth proportional to 3,698.06, 5,103.35 and 2,126.17 is: 2,934.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.06 : 5,103.35 = 2,126.17 : x
  2. Step 2: Convert to fraction form
    3,698.06/5,103.35 = 2,126.17/x
  3. Step 3: Cross multiply
    3,698.06x = 5,103.35 × 2,126.17
  4. Step 4: Simplify right side
    3,698.06x = 10,850,582.23
  5. Step 5: Solve for x
    x = 10,850,582.23/3,698.06
  6. Step 6: Final answer
    x = 2,934.13

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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.