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Finding the Fourth Proportional to 4,347.38, 5,997 and 2,578.64

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Solution

The fourth proportional to 4,347.38, 5,997 and 2,578.64 is: 3,557.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.38 : 5,997 = 2,578.64 : x
  2. Step 2: Convert to fraction form
    4,347.38/5,997 = 2,578.64/x
  3. Step 3: Cross multiply
    4,347.38x = 5,997 × 2,578.64
  4. Step 4: Simplify right side
    4,347.38x = 15,464,104.08
  5. Step 5: Solve for x
    x = 15,464,104.08/4,347.38
  6. Step 6: Final answer
    x = 3,557.11

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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.