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Finding the Fourth Proportional to 3,840.78, 5,300.67 and 2,349.69

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Solution

The fourth proportional to 3,840.78, 5,300.67 and 2,349.69 is: 3,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.78 : 5,300.67 = 2,349.69 : x
  2. Step 2: Convert to fraction form
    3,840.78/5,300.67 = 2,349.69/x
  3. Step 3: Cross multiply
    3,840.78x = 5,300.67 × 2,349.69
  4. Step 4: Simplify right side
    3,840.78x = 12,454,911.41
  5. Step 5: Solve for x
    x = 12,454,911.41/3,840.78
  6. Step 6: Final answer
    x = 3,242.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.