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Finding the Fourth Proportional to 3,296.22, 4,544.65 and 2,585.86

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Solution

The fourth proportional to 3,296.22, 4,544.65 and 2,585.86 is: 3,565.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.22 : 4,544.65 = 2,585.86 : x
  2. Step 2: Convert to fraction form
    3,296.22/4,544.65 = 2,585.86/x
  3. Step 3: Cross multiply
    3,296.22x = 4,544.65 × 2,585.86
  4. Step 4: Simplify right side
    3,296.22x = 11,751,828.65
  5. Step 5: Solve for x
    x = 11,751,828.65/3,296.22
  6. Step 6: Final answer
    x = 3,565.24

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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.