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Finding the Fourth Proportional to 4,681.30, 6,458 and 2,791.82

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Solution

The fourth proportional to 4,681.30, 6,458 and 2,791.82 is: 3,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.30 : 6,458 = 2,791.82 : x
  2. Step 2: Convert to fraction form
    4,681.30/6,458 = 2,791.82/x
  3. Step 3: Cross multiply
    4,681.30x = 6,458 × 2,791.82
  4. Step 4: Simplify right side
    4,681.30x = 18,029,573.56
  5. Step 5: Solve for x
    x = 18,029,573.56/4,681.30
  6. Step 6: Final answer
    x = 3,851.40

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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.