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Finding the Fourth Proportional to 4,416, 6,094.24 and 2,527.92

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Solution

The fourth proportional to 4,416, 6,094.24 and 2,527.92 is: 3,488.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,416 : 6,094.24 = 2,527.92 : x
  2. Step 2: Convert to fraction form
    4,416/6,094.24 = 2,527.92/x
  3. Step 3: Cross multiply
    4,416x = 6,094.24 × 2,527.92
  4. Step 4: Simplify right side
    4,416x = 15,405,751.18
  5. Step 5: Solve for x
    x = 15,405,751.18/4,416
  6. Step 6: Final answer
    x = 3,488.62

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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.