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Finding the Fourth Proportional to 3,698.04, 5,102.28 and 2,126.64

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Solution

The fourth proportional to 3,698.04, 5,102.28 and 2,126.64 is: 2,934.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.04 : 5,102.28 = 2,126.64 : x
  2. Step 2: Convert to fraction form
    3,698.04/5,102.28 = 2,126.64/x
  3. Step 3: Cross multiply
    3,698.04x = 5,102.28 × 2,126.64
  4. Step 4: Simplify right side
    3,698.04x = 10,850,712.74
  5. Step 5: Solve for x
    x = 10,850,712.74/3,698.04
  6. Step 6: Final answer
    x = 2,934.18

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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.