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Finding the Fourth Proportional to 4,758.40, 7,136.84 and 2,998

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Solution

The fourth proportional to 4,758.40, 7,136.84 and 2,998 is: 4,496.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.40 : 7,136.84 = 2,998 : x
  2. Step 2: Convert to fraction form
    4,758.40/7,136.84 = 2,998/x
  3. Step 3: Cross multiply
    4,758.40x = 7,136.84 × 2,998
  4. Step 4: Simplify right side
    4,758.40x = 21,396,246.32
  5. Step 5: Solve for x
    x = 21,396,246.32/4,758.40
  6. Step 6: Final answer
    x = 4,496.52

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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.