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Finding the Fourth Proportional to 3,698.72, 5,101.89 and 2,812.58

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Solution

The fourth proportional to 3,698.72, 5,101.89 and 2,812.58 is: 3,879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.72 : 5,101.89 = 2,812.58 : x
  2. Step 2: Convert to fraction form
    3,698.72/5,101.89 = 2,812.58/x
  3. Step 3: Cross multiply
    3,698.72x = 5,101.89 × 2,812.58
  4. Step 4: Simplify right side
    3,698.72x = 14,349,473.78
  5. Step 5: Solve for x
    x = 14,349,473.78/3,698.72
  6. Step 6: Final answer
    x = 3,879.58

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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.