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Finding the Fourth Proportional to 3,435.88, 5,154.78 and 2,851.24

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Solution

The fourth proportional to 3,435.88, 5,154.78 and 2,851.24 is: 4,277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.88 : 5,154.78 = 2,851.24 : x
  2. Step 2: Convert to fraction form
    3,435.88/5,154.78 = 2,851.24/x
  3. Step 3: Cross multiply
    3,435.88x = 5,154.78 × 2,851.24
  4. Step 4: Simplify right side
    3,435.88x = 14,697,514.93
  5. Step 5: Solve for x
    x = 14,697,514.93/3,435.88
  6. Step 6: Final answer
    x = 4,277.66

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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.