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Finding the Fourth Proportional to 3,644.92, 5,466.77 and 1,047.25

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Solution

The fourth proportional to 3,644.92, 5,466.77 and 1,047.25 is: 1,570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.92 : 5,466.77 = 1,047.25 : x
  2. Step 2: Convert to fraction form
    3,644.92/5,466.77 = 1,047.25/x
  3. Step 3: Cross multiply
    3,644.92x = 5,466.77 × 1,047.25
  4. Step 4: Simplify right side
    3,644.92x = 5,725,074.88
  5. Step 5: Solve for x
    x = 5,725,074.88/3,644.92
  6. Step 6: Final answer
    x = 1,570.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.