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Finding the Fourth Proportional to 4,907.68, 7,363.48 and 1,787.90

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Solution

The fourth proportional to 4,907.68, 7,363.48 and 1,787.90 is: 2,682.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.68 : 7,363.48 = 1,787.90 : x
  2. Step 2: Convert to fraction form
    4,907.68/7,363.48 = 1,787.90/x
  3. Step 3: Cross multiply
    4,907.68x = 7,363.48 × 1,787.90
  4. Step 4: Simplify right side
    4,907.68x = 13,165,166.02
  5. Step 5: Solve for x
    x = 13,165,166.02/4,907.68
  6. Step 6: Final answer
    x = 2,682.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.