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Finding the Fourth Proportional to 5,165.63, 7,748.48 and 2,046.39

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Solution

The fourth proportional to 5,165.63, 7,748.48 and 2,046.39 is: 3,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.63 : 7,748.48 = 2,046.39 : x
  2. Step 2: Convert to fraction form
    5,165.63/7,748.48 = 2,046.39/x
  3. Step 3: Cross multiply
    5,165.63x = 7,748.48 × 2,046.39
  4. Step 4: Simplify right side
    5,165.63x = 15,856,411.99
  5. Step 5: Solve for x
    x = 15,856,411.99/5,165.63
  6. Step 6: Final answer
    x = 3,069.60

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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.