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Finding the Fourth Proportional to 4,644.90, 6,410.82 and 2,966.85

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Solution

The fourth proportional to 4,644.90, 6,410.82 and 2,966.85 is: 4,094.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.90 : 6,410.82 = 2,966.85 : x
  2. Step 2: Convert to fraction form
    4,644.90/6,410.82 = 2,966.85/x
  3. Step 3: Cross multiply
    4,644.90x = 6,410.82 × 2,966.85
  4. Step 4: Simplify right side
    4,644.90x = 19,019,941.32
  5. Step 5: Solve for x
    x = 19,019,941.32/4,644.90
  6. Step 6: Final answer
    x = 4,094.80

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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.