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Finding the Fourth Proportional to 3,409.61, 4,693.88 and 3,252.87

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Solution

The fourth proportional to 3,409.61, 4,693.88 and 3,252.87 is: 4,478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.61 : 4,693.88 = 3,252.87 : x
  2. Step 2: Convert to fraction form
    3,409.61/4,693.88 = 3,252.87/x
  3. Step 3: Cross multiply
    3,409.61x = 4,693.88 × 3,252.87
  4. Step 4: Simplify right side
    3,409.61x = 15,268,589.57
  5. Step 5: Solve for x
    x = 15,268,589.57/3,409.61
  6. Step 6: Final answer
    x = 4,478.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.