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Finding the Fourth Proportional to 4,958, 6,842.08 and 2,862.48

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Solution

The fourth proportional to 4,958, 6,842.08 and 2,862.48 is: 3,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,958 : 6,842.08 = 2,862.48 : x
  2. Step 2: Convert to fraction form
    4,958/6,842.08 = 2,862.48/x
  3. Step 3: Cross multiply
    4,958x = 6,842.08 × 2,862.48
  4. Step 4: Simplify right side
    4,958x = 19,585,317.16
  5. Step 5: Solve for x
    x = 19,585,317.16/4,958
  6. Step 6: Final answer
    x = 3,950.25

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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.