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Finding the Fourth Proportional to 3,854.96, 5,783.16 and 1,546.64

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Solution

The fourth proportional to 3,854.96, 5,783.16 and 1,546.64 is: 2,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.96 : 5,783.16 = 1,546.64 : x
  2. Step 2: Convert to fraction form
    3,854.96/5,783.16 = 1,546.64/x
  3. Step 3: Cross multiply
    3,854.96x = 5,783.16 × 1,546.64
  4. Step 4: Simplify right side
    3,854.96x = 8,944,466.58
  5. Step 5: Solve for x
    x = 8,944,466.58/3,854.96
  6. Step 6: Final answer
    x = 2,320.25

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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.