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Finding the Fourth Proportional to 6,290.64, 8,682.28 and 4,166.20

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Solution

The fourth proportional to 6,290.64, 8,682.28 and 4,166.20 is: 5,750.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.64 : 8,682.28 = 4,166.20 : x
  2. Step 2: Convert to fraction form
    6,290.64/8,682.28 = 4,166.20/x
  3. Step 3: Cross multiply
    6,290.64x = 8,682.28 × 4,166.20
  4. Step 4: Simplify right side
    6,290.64x = 36,172,114.94
  5. Step 5: Solve for x
    x = 36,172,114.94/6,290.64
  6. Step 6: Final answer
    x = 5,750.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.