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Finding the Fourth Proportional to 4,392.30, 6,584.00 and 1,468.20

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Solution

The fourth proportional to 4,392.30, 6,584.00 and 1,468.20 is: 2,200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,392.30 : 6,584.00 = 1,468.20 : x
  2. Step 2: Convert to fraction form
    4,392.30/6,584.00 = 1,468.20/x
  3. Step 3: Cross multiply
    4,392.30x = 6,584.00 × 1,468.20
  4. Step 4: Simplify right side
    4,392.30x = 9,666,621.46
  5. Step 5: Solve for x
    x = 9,666,621.46/4,392.30
  6. Step 6: Final answer
    x = 2,200.81

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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.