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Finding the Fourth Proportional to 5,122.85, 7,685.00 and 2,490.50

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Solution

The fourth proportional to 5,122.85, 7,685.00 and 2,490.50 is: 3,736.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.85 : 7,685.00 = 2,490.50 : x
  2. Step 2: Convert to fraction form
    5,122.85/7,685.00 = 2,490.50/x
  3. Step 3: Cross multiply
    5,122.85x = 7,685.00 × 2,490.50
  4. Step 4: Simplify right side
    5,122.85x = 19,139,472.38
  5. Step 5: Solve for x
    x = 19,139,472.38/5,122.85
  6. Step 6: Final answer
    x = 3,736.10

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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.