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Finding the Fourth Proportional to 4,367.76, 6,551.82 and 1,594.68

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Solution

The fourth proportional to 4,367.76, 6,551.82 and 1,594.68 is: 2,392.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,367.76 : 6,551.82 = 1,594.68 : x
  2. Step 2: Convert to fraction form
    4,367.76/6,551.82 = 1,594.68/x
  3. Step 3: Cross multiply
    4,367.76x = 6,551.82 × 1,594.68
  4. Step 4: Simplify right side
    4,367.76x = 10,448,056.32
  5. Step 5: Solve for x
    x = 10,448,056.32/4,367.76
  6. Step 6: Final answer
    x = 2,392.09

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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.