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Finding the Fourth Proportional to 4,563.59, 6,843.15 and 2,340.14

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Solution

The fourth proportional to 4,563.59, 6,843.15 and 2,340.14 is: 3,509.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.59 : 6,843.15 = 2,340.14 : x
  2. Step 2: Convert to fraction form
    4,563.59/6,843.15 = 2,340.14/x
  3. Step 3: Cross multiply
    4,563.59x = 6,843.15 × 2,340.14
  4. Step 4: Simplify right side
    4,563.59x = 16,013,894.83
  5. Step 5: Solve for x
    x = 16,013,894.83/4,563.59
  6. Step 6: Final answer
    x = 3,509.06

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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.