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Finding the Fourth Proportional to 3,788.90, 5,228.93 and 2,296.95

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Solution

The fourth proportional to 3,788.90, 5,228.93 and 2,296.95 is: 3,169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.90 : 5,228.93 = 2,296.95 : x
  2. Step 2: Convert to fraction form
    3,788.90/5,228.93 = 2,296.95/x
  3. Step 3: Cross multiply
    3,788.90x = 5,228.93 × 2,296.95
  4. Step 4: Simplify right side
    3,788.90x = 12,010,579.28
  5. Step 5: Solve for x
    x = 12,010,579.28/3,788.90
  6. Step 6: Final answer
    x = 3,169.94

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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.