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Finding the Fourth Proportional to 3,854.56, 5,783.38 and 2,295.30

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Solution

The fourth proportional to 3,854.56, 5,783.38 and 2,295.30 is: 3,443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.56 : 5,783.38 = 2,295.30 : x
  2. Step 2: Convert to fraction form
    3,854.56/5,783.38 = 2,295.30/x
  3. Step 3: Cross multiply
    3,854.56x = 5,783.38 × 2,295.30
  4. Step 4: Simplify right side
    3,854.56x = 13,274,592.11
  5. Step 5: Solve for x
    x = 13,274,592.11/3,854.56
  6. Step 6: Final answer
    x = 3,443.87

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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.