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Finding the Fourth Proportional to 4,614.50, 6,368.10 and 2,751.50

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Solution

The fourth proportional to 4,614.50, 6,368.10 and 2,751.50 is: 3,797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.50 : 6,368.10 = 2,751.50 : x
  2. Step 2: Convert to fraction form
    4,614.50/6,368.10 = 2,751.50/x
  3. Step 3: Cross multiply
    4,614.50x = 6,368.10 × 2,751.50
  4. Step 4: Simplify right side
    4,614.50x = 17,521,827.15
  5. Step 5: Solve for x
    x = 17,521,827.15/4,614.50
  6. Step 6: Final answer
    x = 3,797.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.