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Finding the Fourth Proportional to 5,057.24, 7,586.58 and 1,593.68

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Solution

The fourth proportional to 5,057.24, 7,586.58 and 1,593.68 is: 2,390.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.24 : 7,586.58 = 1,593.68 : x
  2. Step 2: Convert to fraction form
    5,057.24/7,586.58 = 1,593.68/x
  3. Step 3: Cross multiply
    5,057.24x = 7,586.58 × 1,593.68
  4. Step 4: Simplify right side
    5,057.24x = 12,090,580.81
  5. Step 5: Solve for x
    x = 12,090,580.81/5,057.24
  6. Step 6: Final answer
    x = 2,390.75

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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.