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Finding the Fourth Proportional to 3,437.83, 5,153.22 and 1,357

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Solution

The fourth proportional to 3,437.83, 5,153.22 and 1,357 is: 2,034.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.83 : 5,153.22 = 1,357 : x
  2. Step 2: Convert to fraction form
    3,437.83/5,153.22 = 1,357/x
  3. Step 3: Cross multiply
    3,437.83x = 5,153.22 × 1,357
  4. Step 4: Simplify right side
    3,437.83x = 6,992,919.54
  5. Step 5: Solve for x
    x = 6,992,919.54/3,437.83
  6. Step 6: Final answer
    x = 2,034.11

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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.