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Finding the Fourth Proportional to 3,653.16, 5,477.30 and 1,704.30

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Solution

The fourth proportional to 3,653.16, 5,477.30 and 1,704.30 is: 2,555.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.16 : 5,477.30 = 1,704.30 : x
  2. Step 2: Convert to fraction form
    3,653.16/5,477.30 = 1,704.30/x
  3. Step 3: Cross multiply
    3,653.16x = 5,477.30 × 1,704.30
  4. Step 4: Simplify right side
    3,653.16x = 9,334,962.39
  5. Step 5: Solve for x
    x = 9,334,962.39/3,653.16
  6. Step 6: Final answer
    x = 2,555.31

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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.