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Finding the Fourth Proportional to 4,374.50, 6,563.03 and 1,296.58

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Solution

The fourth proportional to 4,374.50, 6,563.03 and 1,296.58 is: 1,945.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,374.50 : 6,563.03 = 1,296.58 : x
  2. Step 2: Convert to fraction form
    4,374.50/6,563.03 = 1,296.58/x
  3. Step 3: Cross multiply
    4,374.50x = 6,563.03 × 1,296.58
  4. Step 4: Simplify right side
    4,374.50x = 8,509,493.44
  5. Step 5: Solve for x
    x = 8,509,493.44/4,374.50
  6. Step 6: Final answer
    x = 1,945.25

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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.