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Finding the Fourth Proportional to 3,590.83, 5,351 and 3,473.38

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Solution

The fourth proportional to 3,590.83, 5,351 and 3,473.38 is: 5,175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.83 : 5,351 = 3,473.38 : x
  2. Step 2: Convert to fraction form
    3,590.83/5,351 = 3,473.38/x
  3. Step 3: Cross multiply
    3,590.83x = 5,351 × 3,473.38
  4. Step 4: Simplify right side
    3,590.83x = 18,586,056.38
  5. Step 5: Solve for x
    x = 18,586,056.38/3,590.83
  6. Step 6: Final answer
    x = 5,175.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.