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Finding the Fourth Proportional to 7,590.36, 11,376.90 and 3,685.80

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Solution

The fourth proportional to 7,590.36, 11,376.90 and 3,685.80 is: 5,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,590.36 : 11,376.90 = 3,685.80 : x
  2. Step 2: Convert to fraction form
    7,590.36/11,376.90 = 3,685.80/x
  3. Step 3: Cross multiply
    7,590.36x = 11,376.90 × 3,685.80
  4. Step 4: Simplify right side
    7,590.36x = 41,932,978.02
  5. Step 5: Solve for x
    x = 41,932,978.02/7,590.36
  6. Step 6: Final answer
    x = 5,524.50

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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.