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Finding the Fourth Proportional to 5,050.99, 7,577.67 and 1,588.24

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Solution

The fourth proportional to 5,050.99, 7,577.67 and 1,588.24 is: 2,382.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,050.99 : 7,577.67 = 1,588.24 : x
  2. Step 2: Convert to fraction form
    5,050.99/7,577.67 = 1,588.24/x
  3. Step 3: Cross multiply
    5,050.99x = 7,577.67 × 1,588.24
  4. Step 4: Simplify right side
    5,050.99x = 12,035,120.71
  5. Step 5: Solve for x
    x = 12,035,120.71/5,050.99
  6. Step 6: Final answer
    x = 2,382.73

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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.