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Finding the Fourth Proportional to 4,392.57, 6,582.33 and 4,283.91

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Solution

The fourth proportional to 4,392.57, 6,582.33 and 4,283.91 is: 6,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,392.57 : 6,582.33 = 4,283.91 : x
  2. Step 2: Convert to fraction form
    4,392.57/6,582.33 = 4,283.91/x
  3. Step 3: Cross multiply
    4,392.57x = 6,582.33 × 4,283.91
  4. Step 4: Simplify right side
    4,392.57x = 28,198,109.31
  5. Step 5: Solve for x
    x = 28,198,109.31/4,392.57
  6. Step 6: Final answer
    x = 6,419.50

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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.