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Finding the Fourth Proportional to 5,787.02, 7,984.74 and 3,902.10

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Solution

The fourth proportional to 5,787.02, 7,984.74 and 3,902.10 is: 5,383.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.02 : 7,984.74 = 3,902.10 : x
  2. Step 2: Convert to fraction form
    5,787.02/7,984.74 = 3,902.10/x
  3. Step 3: Cross multiply
    5,787.02x = 7,984.74 × 3,902.10
  4. Step 4: Simplify right side
    5,787.02x = 31,157,238.64
  5. Step 5: Solve for x
    x = 31,157,238.64/5,787.02
  6. Step 6: Final answer
    x = 5,383.98

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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.