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Finding the Fourth Proportional to 4,644.55, 6,407.22 and 3,385

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Solution

The fourth proportional to 4,644.55, 6,407.22 and 3,385 is: 4,669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.55 : 6,407.22 = 3,385 : x
  2. Step 2: Convert to fraction form
    4,644.55/6,407.22 = 3,385/x
  3. Step 3: Cross multiply
    4,644.55x = 6,407.22 × 3,385
  4. Step 4: Simplify right side
    4,644.55x = 21,688,439.70
  5. Step 5: Solve for x
    x = 21,688,439.70/4,644.55
  6. Step 6: Final answer
    x = 4,669.65

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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.