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Finding the Fourth Proportional to 3,538.59, 4,884.62 and 2,359.23

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Solution

The fourth proportional to 3,538.59, 4,884.62 and 2,359.23 is: 3,256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.59 : 4,884.62 = 2,359.23 : x
  2. Step 2: Convert to fraction form
    3,538.59/4,884.62 = 2,359.23/x
  3. Step 3: Cross multiply
    3,538.59x = 4,884.62 × 2,359.23
  4. Step 4: Simplify right side
    3,538.59x = 11,523,930.25
  5. Step 5: Solve for x
    x = 11,523,930.25/3,538.59
  6. Step 6: Final answer
    x = 3,256.64

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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.