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Finding the Fourth Proportional to 5,617.26, 7,746.57 and 4,441.14

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Solution

The fourth proportional to 5,617.26, 7,746.57 and 4,441.14 is: 6,124.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.26 : 7,746.57 = 4,441.14 : x
  2. Step 2: Convert to fraction form
    5,617.26/7,746.57 = 4,441.14/x
  3. Step 3: Cross multiply
    5,617.26x = 7,746.57 × 4,441.14
  4. Step 4: Simplify right side
    5,617.26x = 34,403,601.89
  5. Step 5: Solve for x
    x = 34,403,601.89/5,617.26
  6. Step 6: Final answer
    x = 6,124.62

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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.