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Finding the Fourth Proportional to 3,809.47, 5,714.02 and 998.32

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Solution

The fourth proportional to 3,809.47, 5,714.02 and 998.32 is: 1,497.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.47 : 5,714.02 = 998.32 : x
  2. Step 2: Convert to fraction form
    3,809.47/5,714.02 = 998.32/x
  3. Step 3: Cross multiply
    3,809.47x = 5,714.02 × 998.32
  4. Step 4: Simplify right side
    3,809.47x = 5,704,420.45
  5. Step 5: Solve for x
    x = 5,704,420.45/3,809.47
  6. Step 6: Final answer
    x = 1,497.43

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Double scale
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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.