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Finding the Fourth Proportional to 3,670.52, 5,065.59 and 2,098.70

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Solution

The fourth proportional to 3,670.52, 5,065.59 and 2,098.70 is: 2,896.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.52 : 5,065.59 = 2,098.70 : x
  2. Step 2: Convert to fraction form
    3,670.52/5,065.59 = 2,098.70/x
  3. Step 3: Cross multiply
    3,670.52x = 5,065.59 × 2,098.70
  4. Step 4: Simplify right side
    3,670.52x = 10,631,153.73
  5. Step 5: Solve for x
    x = 10,631,153.73/3,670.52
  6. Step 6: Final answer
    x = 2,896.36

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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.