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Finding the Fourth Proportional to 4,019.93, 6,029.10 and 1,097.54

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Solution

The fourth proportional to 4,019.93, 6,029.10 and 1,097.54 is: 1,646.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.93 : 6,029.10 = 1,097.54 : x
  2. Step 2: Convert to fraction form
    4,019.93/6,029.10 = 1,097.54/x
  3. Step 3: Cross multiply
    4,019.93x = 6,029.10 × 1,097.54
  4. Step 4: Simplify right side
    4,019.93x = 6,617,148.27
  5. Step 5: Solve for x
    x = 6,617,148.27/4,019.93
  6. Step 6: Final answer
    x = 1,646.09

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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.