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Finding the Fourth Proportional to 6,590.79, 9,883.77 and 1,909.53

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Solution

The fourth proportional to 6,590.79, 9,883.77 and 1,909.53 is: 2,863.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.79 : 9,883.77 = 1,909.53 : x
  2. Step 2: Convert to fraction form
    6,590.79/9,883.77 = 1,909.53/x
  3. Step 3: Cross multiply
    6,590.79x = 9,883.77 × 1,909.53
  4. Step 4: Simplify right side
    6,590.79x = 18,873,355.33
  5. Step 5: Solve for x
    x = 18,873,355.33/6,590.79
  6. Step 6: Final answer
    x = 2,863.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.