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Finding the Fourth Proportional to 3,678.64, 5,519.32 and 1,705.23

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Solution

The fourth proportional to 3,678.64, 5,519.32 and 1,705.23 is: 2,558.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.64 : 5,519.32 = 1,705.23 : x
  2. Step 2: Convert to fraction form
    3,678.64/5,519.32 = 1,705.23/x
  3. Step 3: Cross multiply
    3,678.64x = 5,519.32 × 1,705.23
  4. Step 4: Simplify right side
    3,678.64x = 9,411,705.78
  5. Step 5: Solve for x
    x = 9,411,705.78/3,678.64
  6. Step 6: Final answer
    x = 2,558.48

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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.