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Finding the Fourth Proportional to 4,898.61, 7,349.06 and 1,778.09

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Solution

The fourth proportional to 4,898.61, 7,349.06 and 1,778.09 is: 2,667.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,898.61 : 7,349.06 = 1,778.09 : x
  2. Step 2: Convert to fraction form
    4,898.61/7,349.06 = 1,778.09/x
  3. Step 3: Cross multiply
    4,898.61x = 7,349.06 × 1,778.09
  4. Step 4: Simplify right side
    4,898.61x = 13,067,257.80
  5. Step 5: Solve for x
    x = 13,067,257.80/4,898.61
  6. Step 6: Final answer
    x = 2,667.54

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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.