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Finding the Fourth Proportional to 4,882.34, 7,318.04 and 1,957.25

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Solution

The fourth proportional to 4,882.34, 7,318.04 and 1,957.25 is: 2,933.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.34 : 7,318.04 = 1,957.25 : x
  2. Step 2: Convert to fraction form
    4,882.34/7,318.04 = 1,957.25/x
  3. Step 3: Cross multiply
    4,882.34x = 7,318.04 × 1,957.25
  4. Step 4: Simplify right side
    4,882.34x = 14,323,187.41
  5. Step 5: Solve for x
    x = 14,323,187.41/4,882.34
  6. Step 6: Final answer
    x = 2,933.68

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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.