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Finding the Fourth Proportional to 3,830.77, 5,287.03 and 2,339.54

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Solution

The fourth proportional to 3,830.77, 5,287.03 and 2,339.54 is: 3,228.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.77 : 5,287.03 = 2,339.54 : x
  2. Step 2: Convert to fraction form
    3,830.77/5,287.03 = 2,339.54/x
  3. Step 3: Cross multiply
    3,830.77x = 5,287.03 × 2,339.54
  4. Step 4: Simplify right side
    3,830.77x = 12,369,212.32
  5. Step 5: Solve for x
    x = 12,369,212.32/3,830.77
  6. Step 6: Final answer
    x = 3,228.91

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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.