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Finding the Fourth Proportional to 4,685.10, 6,442.11 and 4,490.70

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Solution

The fourth proportional to 4,685.10, 6,442.11 and 4,490.70 is: 6,174.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.10 : 6,442.11 = 4,490.70 : x
  2. Step 2: Convert to fraction form
    4,685.10/6,442.11 = 4,490.70/x
  3. Step 3: Cross multiply
    4,685.10x = 6,442.11 × 4,490.70
  4. Step 4: Simplify right side
    4,685.10x = 28,929,583.38
  5. Step 5: Solve for x
    x = 28,929,583.38/4,685.10
  6. Step 6: Final answer
    x = 6,174.81

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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.