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Finding the Fourth Proportional to 4,416, 6,093.84 and 2,647.28

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Solution

The fourth proportional to 4,416, 6,093.84 and 2,647.28 is: 3,653.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,416 : 6,093.84 = 2,647.28 : x
  2. Step 2: Convert to fraction form
    4,416/6,093.84 = 2,647.28/x
  3. Step 3: Cross multiply
    4,416x = 6,093.84 × 2,647.28
  4. Step 4: Simplify right side
    4,416x = 16,132,100.76
  5. Step 5: Solve for x
    x = 16,132,100.76/4,416
  6. Step 6: Final answer
    x = 3,653.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.