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Finding the Fourth Proportional to 4,778.50, 7,165.91 and 1,856.42

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Solution

The fourth proportional to 4,778.50, 7,165.91 and 1,856.42 is: 2,783.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.50 : 7,165.91 = 1,856.42 : x
  2. Step 2: Convert to fraction form
    4,778.50/7,165.91 = 1,856.42/x
  3. Step 3: Cross multiply
    4,778.50x = 7,165.91 × 1,856.42
  4. Step 4: Simplify right side
    4,778.50x = 13,302,938.64
  5. Step 5: Solve for x
    x = 13,302,938.64/4,778.50
  6. Step 6: Final answer
    x = 2,783.92

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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.