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Finding the Fourth Proportional to 4,684.40, 6,993.34 and 4,166

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Solution

The fourth proportional to 4,684.40, 6,993.34 and 4,166 is: 6,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.40 : 6,993.34 = 4,166 : x
  2. Step 2: Convert to fraction form
    4,684.40/6,993.34 = 4,166/x
  3. Step 3: Cross multiply
    4,684.40x = 6,993.34 × 4,166
  4. Step 4: Simplify right side
    4,684.40x = 29,134,254.44
  5. Step 5: Solve for x
    x = 29,134,254.44/4,684.40
  6. Step 6: Final answer
    x = 6,219.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.