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Finding the Fourth Proportional to 3,462.90, 4,776.93 and 2,065.38

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Solution

The fourth proportional to 3,462.90, 4,776.93 and 2,065.38 is: 2,849.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.90 : 4,776.93 = 2,065.38 : x
  2. Step 2: Convert to fraction form
    3,462.90/4,776.93 = 2,065.38/x
  3. Step 3: Cross multiply
    3,462.90x = 4,776.93 × 2,065.38
  4. Step 4: Simplify right side
    3,462.90x = 9,866,175.68
  5. Step 5: Solve for x
    x = 9,866,175.68/3,462.90
  6. Step 6: Final answer
    x = 2,849.11

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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.