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Finding the Fourth Proportional to 4,644.84, 6,409.91 and 2,520.42

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Solution

The fourth proportional to 4,644.84, 6,409.91 and 2,520.42 is: 3,478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.84 : 6,409.91 = 2,520.42 : x
  2. Step 2: Convert to fraction form
    4,644.84/6,409.91 = 2,520.42/x
  3. Step 3: Cross multiply
    4,644.84x = 6,409.91 × 2,520.42
  4. Step 4: Simplify right side
    4,644.84x = 16,155,665.36
  5. Step 5: Solve for x
    x = 16,155,665.36/4,644.84
  6. Step 6: Final answer
    x = 3,478.20

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1.5x scale

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.