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Finding the Fourth Proportional to 4,167.64, 5,751.30 and 2,304.64

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Solution

The fourth proportional to 4,167.64, 5,751.30 and 2,304.64 is: 3,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.64 : 5,751.30 = 2,304.64 : x
  2. Step 2: Convert to fraction form
    4,167.64/5,751.30 = 2,304.64/x
  3. Step 3: Cross multiply
    4,167.64x = 5,751.30 × 2,304.64
  4. Step 4: Simplify right side
    4,167.64x = 13,254,676.03
  5. Step 5: Solve for x
    x = 13,254,676.03/4,167.64
  6. Step 6: Final answer
    x = 3,180.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.