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Finding the Fourth Proportional to 3,851.95, 5,750.05 and 3,384.86

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Solution

The fourth proportional to 3,851.95, 5,750.05 and 3,384.86 is: 5,052.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.95 : 5,750.05 = 3,384.86 : x
  2. Step 2: Convert to fraction form
    3,851.95/5,750.05 = 3,384.86/x
  3. Step 3: Cross multiply
    3,851.95x = 5,750.05 × 3,384.86
  4. Step 4: Simplify right side
    3,851.95x = 19,463,114.24
  5. Step 5: Solve for x
    x = 19,463,114.24/3,851.95
  6. Step 6: Final answer
    x = 5,052.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.