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Finding the Fourth Proportional to 3,788.02, 5,658.91 and 3,019.38

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Solution

The fourth proportional to 3,788.02, 5,658.91 and 3,019.38 is: 4,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.02 : 5,658.91 = 3,019.38 : x
  2. Step 2: Convert to fraction form
    3,788.02/5,658.91 = 3,019.38/x
  3. Step 3: Cross multiply
    3,788.02x = 5,658.91 × 3,019.38
  4. Step 4: Simplify right side
    3,788.02x = 17,086,384.58
  5. Step 5: Solve for x
    x = 17,086,384.58/3,788.02
  6. Step 6: Final answer
    x = 4,510.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.