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Finding the Fourth Proportional to 5,441.78, 7,509.78 and 2,957.78

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Solution

The fourth proportional to 5,441.78, 7,509.78 and 2,957.78 is: 4,081.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.78 : 7,509.78 = 2,957.78 : x
  2. Step 2: Convert to fraction form
    5,441.78/7,509.78 = 2,957.78/x
  3. Step 3: Cross multiply
    5,441.78x = 7,509.78 × 2,957.78
  4. Step 4: Simplify right side
    5,441.78x = 22,212,277.09
  5. Step 5: Solve for x
    x = 22,212,277.09/5,441.78
  6. Step 6: Final answer
    x = 4,081.80

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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.