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Finding the Fourth Proportional to 5,098.85, 7,643.74 and 1,811.51

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Solution

The fourth proportional to 5,098.85, 7,643.74 and 1,811.51 is: 2,715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.85 : 7,643.74 = 1,811.51 : x
  2. Step 2: Convert to fraction form
    5,098.85/7,643.74 = 1,811.51/x
  3. Step 3: Cross multiply
    5,098.85x = 7,643.74 × 1,811.51
  4. Step 4: Simplify right side
    5,098.85x = 13,846,664.17
  5. Step 5: Solve for x
    x = 13,846,664.17/5,098.85
  6. Step 6: Final answer
    x = 2,715.65

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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.