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Finding the Fourth Proportional to 3,595.84, 5,393.04 and 998.20

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Solution

The fourth proportional to 3,595.84, 5,393.04 and 998.20 is: 1,497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.84 : 5,393.04 = 998.20 : x
  2. Step 2: Convert to fraction form
    3,595.84/5,393.04 = 998.20/x
  3. Step 3: Cross multiply
    3,595.84x = 5,393.04 × 998.20
  4. Step 4: Simplify right side
    3,595.84x = 5,383,332.53
  5. Step 5: Solve for x
    x = 5,383,332.53/3,595.84
  6. Step 6: Final answer
    x = 1,497.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.