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Finding the Fourth Proportional to 6,590.59, 9,094.62 and 3,606.43

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Solution

The fourth proportional to 6,590.59, 9,094.62 and 3,606.43 is: 4,976.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.59 : 9,094.62 = 3,606.43 : x
  2. Step 2: Convert to fraction form
    6,590.59/9,094.62 = 3,606.43/x
  3. Step 3: Cross multiply
    6,590.59x = 9,094.62 × 3,606.43
  4. Step 4: Simplify right side
    6,590.59x = 32,799,110.41
  5. Step 5: Solve for x
    x = 32,799,110.41/6,590.59
  6. Step 6: Final answer
    x = 4,976.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.