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Finding the Fourth Proportional to 3,598.32, 5,398.16 and 1,406.91

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Solution

The fourth proportional to 3,598.32, 5,398.16 and 1,406.91 is: 2,110.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.32 : 5,398.16 = 1,406.91 : x
  2. Step 2: Convert to fraction form
    3,598.32/5,398.16 = 1,406.91/x
  3. Step 3: Cross multiply
    3,598.32x = 5,398.16 × 1,406.91
  4. Step 4: Simplify right side
    3,598.32x = 7,594,698.01
  5. Step 5: Solve for x
    x = 7,594,698.01/3,598.32
  6. Step 6: Final answer
    x = 2,110.63

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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.