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Finding the Fourth Proportional to 6,590.35, 9,102.23 and 4,805.79

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Solution

The fourth proportional to 6,590.35, 9,102.23 and 4,805.79 is: 6,637.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.35 : 9,102.23 = 4,805.79 : x
  2. Step 2: Convert to fraction form
    6,590.35/9,102.23 = 4,805.79/x
  3. Step 3: Cross multiply
    6,590.35x = 9,102.23 × 4,805.79
  4. Step 4: Simplify right side
    6,590.35x = 43,743,405.91
  5. Step 5: Solve for x
    x = 43,743,405.91/6,590.35
  6. Step 6: Final answer
    x = 6,637.49

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