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Finding the Fourth Proportional to 5,723.70, 8,585.89 and 1,775.33

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Solution

The fourth proportional to 5,723.70, 8,585.89 and 1,775.33 is: 2,663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.70 : 8,585.89 = 1,775.33 : x
  2. Step 2: Convert to fraction form
    5,723.70/8,585.89 = 1,775.33/x
  3. Step 3: Cross multiply
    5,723.70x = 8,585.89 × 1,775.33
  4. Step 4: Simplify right side
    5,723.70x = 15,242,772.92
  5. Step 5: Solve for x
    x = 15,242,772.92/5,723.70
  6. Step 6: Final answer
    x = 2,663.10

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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.