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Finding the Fourth Proportional to 3,497.49, 5,253.53 and 2,950.74

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Solution

The fourth proportional to 3,497.49, 5,253.53 and 2,950.74 is: 4,432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.49 : 5,253.53 = 2,950.74 : x
  2. Step 2: Convert to fraction form
    3,497.49/5,253.53 = 2,950.74/x
  3. Step 3: Cross multiply
    3,497.49x = 5,253.53 × 2,950.74
  4. Step 4: Simplify right side
    3,497.49x = 15,501,786.36
  5. Step 5: Solve for x
    x = 15,501,786.36/3,497.49
  6. Step 6: Final answer
    x = 4,432.26

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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.