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Finding the Fourth Proportional to 3,670.53, 5,065.31 and 2,098.77

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Solution

The fourth proportional to 3,670.53, 5,065.31 and 2,098.77 is: 2,896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.53 : 5,065.31 = 2,098.77 : x
  2. Step 2: Convert to fraction form
    3,670.53/5,065.31 = 2,098.77/x
  3. Step 3: Cross multiply
    3,670.53x = 5,065.31 × 2,098.77
  4. Step 4: Simplify right side
    3,670.53x = 10,630,910.17
  5. Step 5: Solve for x
    x = 10,630,910.17/3,670.53
  6. Step 6: Final answer
    x = 2,896.29

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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.