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Finding the Fourth Proportional to 5,720.90, 7,896.09 and 3,364.40

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Solution

The fourth proportional to 5,720.90, 7,896.09 and 3,364.40 is: 4,643.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.90 : 7,896.09 = 3,364.40 : x
  2. Step 2: Convert to fraction form
    5,720.90/7,896.09 = 3,364.40/x
  3. Step 3: Cross multiply
    5,720.90x = 7,896.09 × 3,364.40
  4. Step 4: Simplify right side
    5,720.90x = 26,565,605.20
  5. Step 5: Solve for x
    x = 26,565,605.20/5,720.90
  6. Step 6: Final answer
    x = 4,643.61

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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.