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Finding the Fourth Proportional to 5,628, 8,442 and 1,732.44

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Solution

The fourth proportional to 5,628, 8,442 and 1,732.44 is: 2,598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628 : 8,442 = 1,732.44 : x
  2. Step 2: Convert to fraction form
    5,628/8,442 = 1,732.44/x
  3. Step 3: Cross multiply
    5,628x = 8,442 × 1,732.44
  4. Step 4: Simplify right side
    5,628x = 14,625,258.48
  5. Step 5: Solve for x
    x = 14,625,258.48/5,628
  6. Step 6: Final answer
    x = 2,598.66

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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.