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Finding the Fourth Proportional to 6,407.80, 8,846.22 and 4,429

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Solution

The fourth proportional to 6,407.80, 8,846.22 and 4,429 is: 6,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.80 : 8,846.22 = 4,429 : x
  2. Step 2: Convert to fraction form
    6,407.80/8,846.22 = 4,429/x
  3. Step 3: Cross multiply
    6,407.80x = 8,846.22 × 4,429
  4. Step 4: Simplify right side
    6,407.80x = 39,179,908.38
  5. Step 5: Solve for x
    x = 39,179,908.38/6,407.80
  6. Step 6: Final answer
    x = 6,114.41

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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.