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Finding the Fourth Proportional to 5,097.84, 7,645.32 and 1,809.15

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Solution

The fourth proportional to 5,097.84, 7,645.32 and 1,809.15 is: 2,713.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.84 : 7,645.32 = 1,809.15 : x
  2. Step 2: Convert to fraction form
    5,097.84/7,645.32 = 1,809.15/x
  3. Step 3: Cross multiply
    5,097.84x = 7,645.32 × 1,809.15
  4. Step 4: Simplify right side
    5,097.84x = 13,831,530.68
  5. Step 5: Solve for x
    x = 13,831,530.68/5,097.84
  6. Step 6: Final answer
    x = 2,713.21

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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.