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Finding the Fourth Proportional to 4,442.70, 6,668.16 and 2,253

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Solution

The fourth proportional to 4,442.70, 6,668.16 and 2,253 is: 3,381.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.70 : 6,668.16 = 2,253 : x
  2. Step 2: Convert to fraction form
    4,442.70/6,668.16 = 2,253/x
  3. Step 3: Cross multiply
    4,442.70x = 6,668.16 × 2,253
  4. Step 4: Simplify right side
    4,442.70x = 15,023,364.48
  5. Step 5: Solve for x
    x = 15,023,364.48/4,442.70
  6. Step 6: Final answer
    x = 3,381.58

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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.