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Finding the Fourth Proportional to 3,646.47, 5,441.25 and 3,253.77

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Solution

The fourth proportional to 3,646.47, 5,441.25 and 3,253.77 is: 4,855.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.47 : 5,441.25 = 3,253.77 : x
  2. Step 2: Convert to fraction form
    3,646.47/5,441.25 = 3,253.77/x
  3. Step 3: Cross multiply
    3,646.47x = 5,441.25 × 3,253.77
  4. Step 4: Simplify right side
    3,646.47x = 17,704,576.01
  5. Step 5: Solve for x
    x = 17,704,576.01/3,646.47
  6. Step 6: Final answer
    x = 4,855.26

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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.