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Finding the Fourth Proportional to 5,057.86, 7,586.79 and 1,595.38

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Solution

The fourth proportional to 5,057.86, 7,586.79 and 1,595.38 is: 2,393.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.86 : 7,586.79 = 1,595.38 : x
  2. Step 2: Convert to fraction form
    5,057.86/7,586.79 = 1,595.38/x
  3. Step 3: Cross multiply
    5,057.86x = 7,586.79 × 1,595.38
  4. Step 4: Simplify right side
    5,057.86x = 12,103,775.10
  5. Step 5: Solve for x
    x = 12,103,775.10/5,057.86
  6. Step 6: Final answer
    x = 2,393.06

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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.