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Finding the Fourth Proportional to 5,490.48, 8,195.76 and 5,084.40

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Solution

The fourth proportional to 5,490.48, 8,195.76 and 5,084.40 is: 7,589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.48 : 8,195.76 = 5,084.40 : x
  2. Step 2: Convert to fraction form
    5,490.48/8,195.76 = 5,084.40/x
  3. Step 3: Cross multiply
    5,490.48x = 8,195.76 × 5,084.40
  4. Step 4: Simplify right side
    5,490.48x = 41,670,522.14
  5. Step 5: Solve for x
    x = 41,670,522.14/5,490.48
  6. Step 6: Final answer
    x = 7,589.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.