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Finding the Fourth Proportional to 3,580.78, 4,941.71 and 2,008.98

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Solution

The fourth proportional to 3,580.78, 4,941.71 and 2,008.98 is: 2,772.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.78 : 4,941.71 = 2,008.98 : x
  2. Step 2: Convert to fraction form
    3,580.78/4,941.71 = 2,008.98/x
  3. Step 3: Cross multiply
    3,580.78x = 4,941.71 × 2,008.98
  4. Step 4: Simplify right side
    3,580.78x = 9,927,796.56
  5. Step 5: Solve for x
    x = 9,927,796.56/3,580.78
  6. Step 6: Final answer
    x = 2,772.52

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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.