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Finding the Fourth Proportional to 5,574.78, 8,364 and 2,289.42

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Solution

The fourth proportional to 5,574.78, 8,364 and 2,289.42 is: 3,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.78 : 8,364 = 2,289.42 : x
  2. Step 2: Convert to fraction form
    5,574.78/8,364 = 2,289.42/x
  3. Step 3: Cross multiply
    5,574.78x = 8,364 × 2,289.42
  4. Step 4: Simplify right side
    5,574.78x = 19,148,708.88
  5. Step 5: Solve for x
    x = 19,148,708.88/5,574.78
  6. Step 6: Final answer
    x = 3,434.88

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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.