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Finding the Fourth Proportional to 4,757.04, 7,134.98 and 1,294

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Solution

The fourth proportional to 4,757.04, 7,134.98 and 1,294 is: 1,940.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.04 : 7,134.98 = 1,294 : x
  2. Step 2: Convert to fraction form
    4,757.04/7,134.98 = 1,294/x
  3. Step 3: Cross multiply
    4,757.04x = 7,134.98 × 1,294
  4. Step 4: Simplify right side
    4,757.04x = 9,232,664.12
  5. Step 5: Solve for x
    x = 9,232,664.12/4,757.04
  6. Step 6: Final answer
    x = 1,940.84

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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.