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Finding the Fourth Proportional to 5,644.59, 8,465.97 and 1,748.69

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Solution

The fourth proportional to 5,644.59, 8,465.97 and 1,748.69 is: 2,622.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.59 : 8,465.97 = 1,748.69 : x
  2. Step 2: Convert to fraction form
    5,644.59/8,465.97 = 1,748.69/x
  3. Step 3: Cross multiply
    5,644.59x = 8,465.97 × 1,748.69
  4. Step 4: Simplify right side
    5,644.59x = 14,804,343.22
  5. Step 5: Solve for x
    x = 14,804,343.22/5,644.59
  6. Step 6: Final answer
    x = 2,622.75

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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.