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Finding the Fourth Proportional to 3,365.76, 4,642.56 and 2,123.04

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Solution

The fourth proportional to 3,365.76, 4,642.56 and 2,123.04 is: 2,928.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.76 : 4,642.56 = 2,123.04 : x
  2. Step 2: Convert to fraction form
    3,365.76/4,642.56 = 2,123.04/x
  3. Step 3: Cross multiply
    3,365.76x = 4,642.56 × 2,123.04
  4. Step 4: Simplify right side
    3,365.76x = 9,856,340.58
  5. Step 5: Solve for x
    x = 9,856,340.58/3,365.76
  6. Step 6: Final answer
    x = 2,928.41

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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.