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Finding the Fourth Proportional to 3,251.02, 4,486.46 and 1,853.74

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Solution

The fourth proportional to 3,251.02, 4,486.46 and 1,853.74 is: 2,558.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.02 : 4,486.46 = 1,853.74 : x
  2. Step 2: Convert to fraction form
    3,251.02/4,486.46 = 1,853.74/x
  3. Step 3: Cross multiply
    3,251.02x = 4,486.46 × 1,853.74
  4. Step 4: Simplify right side
    3,251.02x = 8,316,730.36
  5. Step 5: Solve for x
    x = 8,316,730.36/3,251.02
  6. Step 6: Final answer
    x = 2,558.19

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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.