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Finding the Fourth Proportional to 4,907.06, 6,771 and 2,810.78

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Solution

The fourth proportional to 4,907.06, 6,771 and 2,810.78 is: 3,878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.06 : 6,771 = 2,810.78 : x
  2. Step 2: Convert to fraction form
    4,907.06/6,771 = 2,810.78/x
  3. Step 3: Cross multiply
    4,907.06x = 6,771 × 2,810.78
  4. Step 4: Simplify right side
    4,907.06x = 19,031,791.38
  5. Step 5: Solve for x
    x = 19,031,791.38/4,907.06
  6. Step 6: Final answer
    x = 3,878.45

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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.