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Finding the Fourth Proportional to 3,644.61, 5,468.70 and 1,564.00

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Solution

The fourth proportional to 3,644.61, 5,468.70 and 1,564.00 is: 2,346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.61 : 5,468.70 = 1,564.00 : x
  2. Step 2: Convert to fraction form
    3,644.61/5,468.70 = 1,564.00/x
  3. Step 3: Cross multiply
    3,644.61x = 5,468.70 × 1,564.00
  4. Step 4: Simplify right side
    3,644.61x = 8,553,033.13
  5. Step 5: Solve for x
    x = 8,553,033.13/3,644.61
  6. Step 6: Final answer
    x = 2,346.76

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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.