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Finding the Fourth Proportional to 5,165.68, 7,746.98 and 1,468.22

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Solution

The fourth proportional to 5,165.68, 7,746.98 and 1,468.22 is: 2,201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.68 : 7,746.98 = 1,468.22 : x
  2. Step 2: Convert to fraction form
    5,165.68/7,746.98 = 1,468.22/x
  3. Step 3: Cross multiply
    5,165.68x = 7,746.98 × 1,468.22
  4. Step 4: Simplify right side
    5,165.68x = 11,374,270.98
  5. Step 5: Solve for x
    x = 11,374,270.98/5,165.68
  6. Step 6: Final answer
    x = 2,201.89

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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.