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Finding the Fourth Proportional to 5,086.69, 7,627.98 and 1,575.87

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Solution

The fourth proportional to 5,086.69, 7,627.98 and 1,575.87 is: 2,363.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.69 : 7,627.98 = 1,575.87 : x
  2. Step 2: Convert to fraction form
    5,086.69/7,627.98 = 1,575.87/x
  3. Step 3: Cross multiply
    5,086.69x = 7,627.98 × 1,575.87
  4. Step 4: Simplify right side
    5,086.69x = 12,020,710.75
  5. Step 5: Solve for x
    x = 12,020,710.75/5,086.69
  6. Step 6: Final answer
    x = 2,363.17

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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.