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Finding the Fourth Proportional to 5,851.53, 8,777.34 and 1,469.01

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Solution

The fourth proportional to 5,851.53, 8,777.34 and 1,469.01 is: 2,203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.53 : 8,777.34 = 1,469.01 : x
  2. Step 2: Convert to fraction form
    5,851.53/8,777.34 = 1,469.01/x
  3. Step 3: Cross multiply
    5,851.53x = 8,777.34 × 1,469.01
  4. Step 4: Simplify right side
    5,851.53x = 12,894,000.23
  5. Step 5: Solve for x
    x = 12,894,000.23/5,851.53
  6. Step 6: Final answer
    x = 2,203.53

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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.