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Finding the Fourth Proportional to 4,490.06, 6,735.09 and 1,569.20

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Solution

The fourth proportional to 4,490.06, 6,735.09 and 1,569.20 is: 2,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490.06 : 6,735.09 = 1,569.20 : x
  2. Step 2: Convert to fraction form
    4,490.06/6,735.09 = 1,569.20/x
  3. Step 3: Cross multiply
    4,490.06x = 6,735.09 × 1,569.20
  4. Step 4: Simplify right side
    4,490.06x = 10,568,669.55
  5. Step 5: Solve for x
    x = 10,568,669.55/4,490.06
  6. Step 6: Final answer
    x = 2,353.80

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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.