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Finding the Fourth Proportional to 3,646.00, 5,440.55 and 3,253.30

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Solution

The fourth proportional to 3,646.00, 5,440.55 and 3,253.30 is: 4,854.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.00 : 5,440.55 = 3,253.30 : x
  2. Step 2: Convert to fraction form
    3,646.00/5,440.55 = 3,253.30/x
  3. Step 3: Cross multiply
    3,646.00x = 5,440.55 × 3,253.30
  4. Step 4: Simplify right side
    3,646.00x = 17,699,729.75
  5. Step 5: Solve for x
    x = 17,699,729.75/3,646.00
  6. Step 6: Final answer
    x = 4,854.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.