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Finding the Fourth Proportional to 4,007.64, 5,991.72 and 3,398.16

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Solution

The fourth proportional to 4,007.64, 5,991.72 and 3,398.16 is: 5,080.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.64 : 5,991.72 = 3,398.16 : x
  2. Step 2: Convert to fraction form
    4,007.64/5,991.72 = 3,398.16/x
  3. Step 3: Cross multiply
    4,007.64x = 5,991.72 × 3,398.16
  4. Step 4: Simplify right side
    4,007.64x = 20,360,823.24
  5. Step 5: Solve for x
    x = 20,360,823.24/4,007.64
  6. Step 6: Final answer
    x = 5,080.50

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1.5x scale

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.