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Finding the Fourth Proportional to 5,583.52, 8,368.32 and 2,294.80

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Solution

The fourth proportional to 5,583.52, 8,368.32 and 2,294.80 is: 3,439.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.52 : 8,368.32 = 2,294.80 : x
  2. Step 2: Convert to fraction form
    5,583.52/8,368.32 = 2,294.80/x
  3. Step 3: Cross multiply
    5,583.52x = 8,368.32 × 2,294.80
  4. Step 4: Simplify right side
    5,583.52x = 19,203,620.74
  5. Step 5: Solve for x
    x = 19,203,620.74/5,583.52
  6. Step 6: Final answer
    x = 3,439.34

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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.