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Finding the Fourth Proportional to 3,653.62, 5,477.82 and 1,704.76

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Solution

The fourth proportional to 3,653.62, 5,477.82 and 1,704.76 is: 2,555.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.62 : 5,477.82 = 1,704.76 : x
  2. Step 2: Convert to fraction form
    3,653.62/5,477.82 = 1,704.76/x
  3. Step 3: Cross multiply
    3,653.62x = 5,477.82 × 1,704.76
  4. Step 4: Simplify right side
    3,653.62x = 9,338,368.42
  5. Step 5: Solve for x
    x = 9,338,368.42/3,653.62
  6. Step 6: Final answer
    x = 2,555.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.