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Finding the Fourth Proportional to 5,899.37, 8,849.37 and 1,516.87

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Solution

The fourth proportional to 5,899.37, 8,849.37 and 1,516.87 is: 2,275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.37 : 8,849.37 = 1,516.87 : x
  2. Step 2: Convert to fraction form
    5,899.37/8,849.37 = 1,516.87/x
  3. Step 3: Cross multiply
    5,899.37x = 8,849.37 × 1,516.87
  4. Step 4: Simplify right side
    5,899.37x = 13,423,299.63
  5. Step 5: Solve for x
    x = 13,423,299.63/5,899.37
  6. Step 6: Final answer
    x = 2,275.38

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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.