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Finding the Fourth Proportional to 3,596.38, 5,394.58 and 999.32

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Solution

The fourth proportional to 3,596.38, 5,394.58 and 999.32 is: 1,498.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.38 : 5,394.58 = 999.32 : x
  2. Step 2: Convert to fraction form
    3,596.38/5,394.58 = 999.32/x
  3. Step 3: Cross multiply
    3,596.38x = 5,394.58 × 999.32
  4. Step 4: Simplify right side
    3,596.38x = 5,390,882.21
  5. Step 5: Solve for x
    x = 5,390,882.21/3,596.38
  6. Step 6: Final answer
    x = 1,498.98

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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.