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Finding the Fourth Proportional to 3,833.40, 5,291.16 and 2,262

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Solution

The fourth proportional to 3,833.40, 5,291.16 and 2,262 is: 3,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.40 : 5,291.16 = 2,262 : x
  2. Step 2: Convert to fraction form
    3,833.40/5,291.16 = 2,262/x
  3. Step 3: Cross multiply
    3,833.40x = 5,291.16 × 2,262
  4. Step 4: Simplify right side
    3,833.40x = 11,968,603.92
  5. Step 5: Solve for x
    x = 11,968,603.92/3,833.40
  6. Step 6: Final answer
    x = 3,122.19

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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.