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Finding the Fourth Proportional to 3,903.16, 5,857.74 and 2,261.08

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Solution

The fourth proportional to 3,903.16, 5,857.74 and 2,261.08 is: 3,393.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.16 : 5,857.74 = 2,261.08 : x
  2. Step 2: Convert to fraction form
    3,903.16/5,857.74 = 2,261.08/x
  3. Step 3: Cross multiply
    3,903.16x = 5,857.74 × 2,261.08
  4. Step 4: Simplify right side
    3,903.16x = 13,244,818.76
  5. Step 5: Solve for x
    x = 13,244,818.76/3,903.16
  6. Step 6: Final answer
    x = 3,393.36

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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.