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Finding the Fourth Proportional to 3,670.70, 5,065.47 and 2,098.69

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Solution

The fourth proportional to 3,670.70, 5,065.47 and 2,098.69 is: 2,896.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.70 : 5,065.47 = 2,098.69 : x
  2. Step 2: Convert to fraction form
    3,670.70/5,065.47 = 2,098.69/x
  3. Step 3: Cross multiply
    3,670.70x = 5,065.47 × 2,098.69
  4. Step 4: Simplify right side
    3,670.70x = 10,630,838.57
  5. Step 5: Solve for x
    x = 10,630,838.57/3,670.70
  6. Step 6: Final answer
    x = 2,896.14

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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.