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Finding the Fourth Proportional to 3,903.16, 5,393.49 and 2,782.15

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Solution

The fourth proportional to 3,903.16, 5,393.49 and 2,782.15 is: 3,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.16 : 5,393.49 = 2,782.15 : x
  2. Step 2: Convert to fraction form
    3,903.16/5,393.49 = 2,782.15/x
  3. Step 3: Cross multiply
    3,903.16x = 5,393.49 × 2,782.15
  4. Step 4: Simplify right side
    3,903.16x = 15,005,498.20
  5. Step 5: Solve for x
    x = 15,005,498.20/3,903.16
  6. Step 6: Final answer
    x = 3,844.45

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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.