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Finding the Fourth Proportional to 5,730.95, 8,590.96 and 1,832.69

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Solution

The fourth proportional to 5,730.95, 8,590.96 and 1,832.69 is: 2,747.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.95 : 8,590.96 = 1,832.69 : x
  2. Step 2: Convert to fraction form
    5,730.95/8,590.96 = 1,832.69/x
  3. Step 3: Cross multiply
    5,730.95x = 8,590.96 × 1,832.69
  4. Step 4: Simplify right side
    5,730.95x = 15,744,590.25
  5. Step 5: Solve for x
    x = 15,744,590.25/5,730.95
  6. Step 6: Final answer
    x = 2,747.29

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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.