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Finding the Fourth Proportional to 6,117.25, 8,441.06 and 3,464.57

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Solution

The fourth proportional to 6,117.25, 8,441.06 and 3,464.57 is: 4,780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.25 : 8,441.06 = 3,464.57 : x
  2. Step 2: Convert to fraction form
    6,117.25/8,441.06 = 3,464.57/x
  3. Step 3: Cross multiply
    6,117.25x = 8,441.06 × 3,464.57
  4. Step 4: Simplify right side
    6,117.25x = 29,244,643.24
  5. Step 5: Solve for x
    x = 29,244,643.24/6,117.25
  6. Step 6: Final answer
    x = 4,780.68

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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.