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Finding the Fourth Proportional to 5,199.29, 7,798.73 and 1,689.15

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Solution

The fourth proportional to 5,199.29, 7,798.73 and 1,689.15 is: 2,533.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.29 : 7,798.73 = 1,689.15 : x
  2. Step 2: Convert to fraction form
    5,199.29/7,798.73 = 1,689.15/x
  3. Step 3: Cross multiply
    5,199.29x = 7,798.73 × 1,689.15
  4. Step 4: Simplify right side
    5,199.29x = 13,173,216.33
  5. Step 5: Solve for x
    x = 13,173,216.33/5,199.29
  6. Step 6: Final answer
    x = 2,533.66

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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.