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Finding the Fourth Proportional to 5,652.25, 8,478.36 and 3,704.00

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Solution

The fourth proportional to 5,652.25, 8,478.36 and 3,704.00 is: 5,555.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.25 : 8,478.36 = 3,704.00 : x
  2. Step 2: Convert to fraction form
    5,652.25/8,478.36 = 3,704.00/x
  3. Step 3: Cross multiply
    5,652.25x = 8,478.36 × 3,704.00
  4. Step 4: Simplify right side
    5,652.25x = 31,403,803.05
  5. Step 5: Solve for x
    x = 31,403,803.05/5,652.25
  6. Step 6: Final answer
    x = 5,555.99

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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.