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Finding the Fourth Proportional to 3,595.74, 5,393.07 and 998.34

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Solution

The fourth proportional to 3,595.74, 5,393.07 and 998.34 is: 1,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.74 : 5,393.07 = 998.34 : x
  2. Step 2: Convert to fraction form
    3,595.74/5,393.07 = 998.34/x
  3. Step 3: Cross multiply
    3,595.74x = 5,393.07 × 998.34
  4. Step 4: Simplify right side
    3,595.74x = 5,384,117.50
  5. Step 5: Solve for x
    x = 5,384,117.50/3,595.74
  6. Step 6: Final answer
    x = 1,497.36

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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.