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Finding the Fourth Proportional to 4,942.07, 7,408.35 and 2,860.17

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Solution

The fourth proportional to 4,942.07, 7,408.35 and 2,860.17 is: 4,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.07 : 7,408.35 = 2,860.17 : x
  2. Step 2: Convert to fraction form
    4,942.07/7,408.35 = 2,860.17/x
  3. Step 3: Cross multiply
    4,942.07x = 7,408.35 × 2,860.17
  4. Step 4: Simplify right side
    4,942.07x = 21,189,140.42
  5. Step 5: Solve for x
    x = 21,189,140.42/4,942.07
  6. Step 6: Final answer
    x = 4,287.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.