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Finding the Fourth Proportional to 4,578.74, 6,809.21 and 4,432.94

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Solution

The fourth proportional to 4,578.74, 6,809.21 and 4,432.94 is: 6,592.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.74 : 6,809.21 = 4,432.94 : x
  2. Step 2: Convert to fraction form
    4,578.74/6,809.21 = 4,432.94/x
  3. Step 3: Cross multiply
    4,578.74x = 6,809.21 × 4,432.94
  4. Step 4: Simplify right side
    4,578.74x = 30,184,819.38
  5. Step 5: Solve for x
    x = 30,184,819.38/4,578.74
  6. Step 6: Final answer
    x = 6,592.39

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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.