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Finding the Fourth Proportional to 4,713, 6,504.66 and 2,851.08

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Solution

The fourth proportional to 4,713, 6,504.66 and 2,851.08 is: 3,934.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713 : 6,504.66 = 2,851.08 : x
  2. Step 2: Convert to fraction form
    4,713/6,504.66 = 2,851.08/x
  3. Step 3: Cross multiply
    4,713x = 6,504.66 × 2,851.08
  4. Step 4: Simplify right side
    4,713x = 18,545,306.03
  5. Step 5: Solve for x
    x = 18,545,306.03/4,713
  6. Step 6: Final answer
    x = 3,934.93

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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.