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Finding the Fourth Proportional to 5,813.74, 8,724.42 and 3,472

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Solution

The fourth proportional to 5,813.74, 8,724.42 and 3,472 is: 5,210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.74 : 8,724.42 = 3,472 : x
  2. Step 2: Convert to fraction form
    5,813.74/8,724.42 = 3,472/x
  3. Step 3: Cross multiply
    5,813.74x = 8,724.42 × 3,472
  4. Step 4: Simplify right side
    5,813.74x = 30,291,186.24
  5. Step 5: Solve for x
    x = 30,291,186.24/5,813.74
  6. Step 6: Final answer
    x = 5,210.28

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Why These Related Problems?

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