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Finding the Fourth Proportional to 5,034.96, 6,950.64 and 3,243.45

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Solution

The fourth proportional to 5,034.96, 6,950.64 and 3,243.45 is: 4,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.96 : 6,950.64 = 3,243.45 : x
  2. Step 2: Convert to fraction form
    5,034.96/6,950.64 = 3,243.45/x
  3. Step 3: Cross multiply
    5,034.96x = 6,950.64 × 3,243.45
  4. Step 4: Simplify right side
    5,034.96x = 22,544,053.31
  5. Step 5: Solve for x
    x = 22,544,053.31/5,034.96
  6. Step 6: Final answer
    x = 4,477.50

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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.