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Finding the Fourth Proportional to 3,497.94, 5,233.95 and 2,574.18

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Solution

The fourth proportional to 3,497.94, 5,233.95 and 2,574.18 is: 3,851.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.94 : 5,233.95 = 2,574.18 : x
  2. Step 2: Convert to fraction form
    3,497.94/5,233.95 = 2,574.18/x
  3. Step 3: Cross multiply
    3,497.94x = 5,233.95 × 2,574.18
  4. Step 4: Simplify right side
    3,497.94x = 13,473,129.41
  5. Step 5: Solve for x
    x = 13,473,129.41/3,497.94
  6. Step 6: Final answer
    x = 3,851.73

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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.