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Finding the Fourth Proportional to 3,566.70, 5,346.54 and 2,007.42

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Solution

The fourth proportional to 3,566.70, 5,346.54 and 2,007.42 is: 3,009.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.70 : 5,346.54 = 2,007.42 : x
  2. Step 2: Convert to fraction form
    3,566.70/5,346.54 = 2,007.42/x
  3. Step 3: Cross multiply
    3,566.70x = 5,346.54 × 2,007.42
  4. Step 4: Simplify right side
    3,566.70x = 10,732,751.33
  5. Step 5: Solve for x
    x = 10,732,751.33/3,566.70
  6. Step 6: Final answer
    x = 3,009.15

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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.