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Finding the Fourth Proportional to 4,563.72, 6,846.04 and 1,643.16

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Solution

The fourth proportional to 4,563.72, 6,846.04 and 1,643.16 is: 2,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.72 : 6,846.04 = 1,643.16 : x
  2. Step 2: Convert to fraction form
    4,563.72/6,846.04 = 1,643.16/x
  3. Step 3: Cross multiply
    4,563.72x = 6,846.04 × 1,643.16
  4. Step 4: Simplify right side
    4,563.72x = 11,249,139.09
  5. Step 5: Solve for x
    x = 11,249,139.09/4,563.72
  6. Step 6: Final answer
    x = 2,464.91

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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.