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Finding the Fourth Proportional to 4,497.94, 6,747.83 and 1,536.13

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Solution

The fourth proportional to 4,497.94, 6,747.83 and 1,536.13 is: 2,304.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.94 : 6,747.83 = 1,536.13 : x
  2. Step 2: Convert to fraction form
    4,497.94/6,747.83 = 1,536.13/x
  3. Step 3: Cross multiply
    4,497.94x = 6,747.83 × 1,536.13
  4. Step 4: Simplify right side
    4,497.94x = 10,365,550.61
  5. Step 5: Solve for x
    x = 10,365,550.61/4,497.94
  6. Step 6: Final answer
    x = 2,304.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.