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Finding the Fourth Proportional to 3,728.36, 5,588.76 and 1,535.60

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Solution

The fourth proportional to 3,728.36, 5,588.76 and 1,535.60 is: 2,301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.36 : 5,588.76 = 1,535.60 : x
  2. Step 2: Convert to fraction form
    3,728.36/5,588.76 = 1,535.60/x
  3. Step 3: Cross multiply
    3,728.36x = 5,588.76 × 1,535.60
  4. Step 4: Simplify right side
    3,728.36x = 8,582,099.86
  5. Step 5: Solve for x
    x = 8,582,099.86/3,728.36
  6. Step 6: Final answer
    x = 2,301.84

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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.