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Finding the Fourth Proportional to 3,254.42, 4,491.15 and 1,857.08

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Solution

The fourth proportional to 3,254.42, 4,491.15 and 1,857.08 is: 2,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.42 : 4,491.15 = 1,857.08 : x
  2. Step 2: Convert to fraction form
    3,254.42/4,491.15 = 1,857.08/x
  3. Step 3: Cross multiply
    3,254.42x = 4,491.15 × 1,857.08
  4. Step 4: Simplify right side
    3,254.42x = 8,340,424.84
  5. Step 5: Solve for x
    x = 8,340,424.84/3,254.42
  6. Step 6: Final answer
    x = 2,562.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.