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Finding the Fourth Proportional to 5,643.80, 8,463.30 and 2,355.80

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Solution

The fourth proportional to 5,643.80, 8,463.30 and 2,355.80 is: 3,532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.80 : 8,463.30 = 2,355.80 : x
  2. Step 2: Convert to fraction form
    5,643.80/8,463.30 = 2,355.80/x
  3. Step 3: Cross multiply
    5,643.80x = 8,463.30 × 2,355.80
  4. Step 4: Simplify right side
    5,643.80x = 19,937,842.14
  5. Step 5: Solve for x
    x = 19,937,842.14/5,643.80
  6. Step 6: Final answer
    x = 3,532.70

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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.