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Finding the Fourth Proportional to 4,866.36, 7,293.42 and 2,788.08

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Solution

The fourth proportional to 4,866.36, 7,293.42 and 2,788.08 is: 4,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.36 : 7,293.42 = 2,788.08 : x
  2. Step 2: Convert to fraction form
    4,866.36/7,293.42 = 2,788.08/x
  3. Step 3: Cross multiply
    4,866.36x = 7,293.42 × 2,788.08
  4. Step 4: Simplify right side
    4,866.36x = 20,334,638.43
  5. Step 5: Solve for x
    x = 20,334,638.43/4,866.36
  6. Step 6: Final answer
    x = 4,178.61

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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.