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Finding the Fourth Proportional to 4,107.02, 6,160.50 and 2,787.50

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Solution

The fourth proportional to 4,107.02, 6,160.50 and 2,787.50 is: 4,181.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.02 : 6,160.50 = 2,787.50 : x
  2. Step 2: Convert to fraction form
    4,107.02/6,160.50 = 2,787.50/x
  3. Step 3: Cross multiply
    4,107.02x = 6,160.50 × 2,787.50
  4. Step 4: Simplify right side
    4,107.02x = 17,172,393.75
  5. Step 5: Solve for x
    x = 17,172,393.75/4,107.02
  6. Step 6: Final answer
    x = 4,181.23

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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.