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Finding the Fourth Proportional to 5,099.14, 7,647.72 and 1,400.42

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Solution

The fourth proportional to 5,099.14, 7,647.72 and 1,400.42 is: 2,100.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.14 : 7,647.72 = 1,400.42 : x
  2. Step 2: Convert to fraction form
    5,099.14/7,647.72 = 1,400.42/x
  3. Step 3: Cross multiply
    5,099.14x = 7,647.72 × 1,400.42
  4. Step 4: Simplify right side
    5,099.14x = 10,710,033.91
  5. Step 5: Solve for x
    x = 10,710,033.91/5,099.14
  6. Step 6: Final answer
    x = 2,100.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.