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Finding the Fourth Proportional to 3,590.07, 5,380.50 and 3,497.81

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Solution

The fourth proportional to 3,590.07, 5,380.50 and 3,497.81 is: 5,242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.07 : 5,380.50 = 3,497.81 : x
  2. Step 2: Convert to fraction form
    3,590.07/5,380.50 = 3,497.81/x
  3. Step 3: Cross multiply
    3,590.07x = 5,380.50 × 3,497.81
  4. Step 4: Simplify right side
    3,590.07x = 18,819,949.22
  5. Step 5: Solve for x
    x = 18,819,949.22/3,590.07
  6. Step 6: Final answer
    x = 5,242.22

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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.