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Finding the Fourth Proportional to 4,517, 6,775.48 and 1,594.60

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Solution

The fourth proportional to 4,517, 6,775.48 and 1,594.60 is: 2,391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517 : 6,775.48 = 1,594.60 : x
  2. Step 2: Convert to fraction form
    4,517/6,775.48 = 1,594.60/x
  3. Step 3: Cross multiply
    4,517x = 6,775.48 × 1,594.60
  4. Step 4: Simplify right side
    4,517x = 10,804,180.41
  5. Step 5: Solve for x
    x = 10,804,180.41/4,517
  6. Step 6: Final answer
    x = 2,391.89

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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.