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Finding the Fourth Proportional to 4,569.32, 6,853.86 and 3,089.22

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Solution

The fourth proportional to 4,569.32, 6,853.86 and 3,089.22 is: 4,633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.32 : 6,853.86 = 3,089.22 : x
  2. Step 2: Convert to fraction form
    4,569.32/6,853.86 = 3,089.22/x
  3. Step 3: Cross multiply
    4,569.32x = 6,853.86 × 3,089.22
  4. Step 4: Simplify right side
    4,569.32x = 21,173,081.39
  5. Step 5: Solve for x
    x = 21,173,081.39/4,569.32
  6. Step 6: Final answer
    x = 4,633.75

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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.