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Finding the Fourth Proportional to 5,597.71, 8,396.47 and 2,267.47

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Solution

The fourth proportional to 5,597.71, 8,396.47 and 2,267.47 is: 3,401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.71 : 8,396.47 = 2,267.47 : x
  2. Step 2: Convert to fraction form
    5,597.71/8,396.47 = 2,267.47/x
  3. Step 3: Cross multiply
    5,597.71x = 8,396.47 × 2,267.47
  4. Step 4: Simplify right side
    5,597.71x = 19,038,732.49
  5. Step 5: Solve for x
    x = 19,038,732.49/5,597.71
  6. Step 6: Final answer
    x = 3,401.16

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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.