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Finding the Fourth Proportional to 5,852.36, 8,078.34 and 3,494.52

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Solution

The fourth proportional to 5,852.36, 8,078.34 and 3,494.52 is: 4,823.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.36 : 8,078.34 = 3,494.52 : x
  2. Step 2: Convert to fraction form
    5,852.36/8,078.34 = 3,494.52/x
  3. Step 3: Cross multiply
    5,852.36x = 8,078.34 × 3,494.52
  4. Step 4: Simplify right side
    5,852.36x = 28,229,920.70
  5. Step 5: Solve for x
    x = 28,229,920.70/5,852.36
  6. Step 6: Final answer
    x = 4,823.68

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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.