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Finding the Fourth Proportional to 5,121, 7,685.82 and 2,043

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Solution

The fourth proportional to 5,121, 7,685.82 and 2,043 is: 3,066.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121 : 7,685.82 = 2,043 : x
  2. Step 2: Convert to fraction form
    5,121/7,685.82 = 2,043/x
  3. Step 3: Cross multiply
    5,121x = 7,685.82 × 2,043
  4. Step 4: Simplify right side
    5,121x = 15,702,130.26
  5. Step 5: Solve for x
    x = 15,702,130.26/5,121
  6. Step 6: Final answer
    x = 3,066.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.