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Finding the Fourth Proportional to 5,640.93, 7,776.21 and 3,957.24

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Solution

The fourth proportional to 5,640.93, 7,776.21 and 3,957.24 is: 5,455.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.93 : 7,776.21 = 3,957.24 : x
  2. Step 2: Convert to fraction form
    5,640.93/7,776.21 = 3,957.24/x
  3. Step 3: Cross multiply
    5,640.93x = 7,776.21 × 3,957.24
  4. Step 4: Simplify right side
    5,640.93x = 30,772,329.26
  5. Step 5: Solve for x
    x = 30,772,329.26/5,640.93
  6. Step 6: Final answer
    x = 5,455.19

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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.