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Finding the Fourth Proportional to 3,903.58, 5,857.75 and 2,056.02

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Solution

The fourth proportional to 3,903.58, 5,857.75 and 2,056.02 is: 3,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.58 : 5,857.75 = 2,056.02 : x
  2. Step 2: Convert to fraction form
    3,903.58/5,857.75 = 2,056.02/x
  3. Step 3: Cross multiply
    3,903.58x = 5,857.75 × 2,056.02
  4. Step 4: Simplify right side
    3,903.58x = 12,043,651.16
  5. Step 5: Solve for x
    x = 12,043,651.16/3,903.58
  6. Step 6: Final answer
    x = 3,085.28

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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.