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Finding the Fourth Proportional to 5,099.10, 7,648.65 and 1,811.10

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Solution

The fourth proportional to 5,099.10, 7,648.65 and 1,811.10 is: 2,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.10 : 7,648.65 = 1,811.10 : x
  2. Step 2: Convert to fraction form
    5,099.10/7,648.65 = 1,811.10/x
  3. Step 3: Cross multiply
    5,099.10x = 7,648.65 × 1,811.10
  4. Step 4: Simplify right side
    5,099.10x = 13,852,470.02
  5. Step 5: Solve for x
    x = 13,852,470.02/5,099.10
  6. Step 6: Final answer
    x = 2,716.65

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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.