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Finding the Fourth Proportional to 3,652.64, 5,478.72 and 1,705.28

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Solution

The fourth proportional to 3,652.64, 5,478.72 and 1,705.28 is: 2,557.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.64 : 5,478.72 = 1,705.28 : x
  2. Step 2: Convert to fraction form
    3,652.64/5,478.72 = 1,705.28/x
  3. Step 3: Cross multiply
    3,652.64x = 5,478.72 × 1,705.28
  4. Step 4: Simplify right side
    3,652.64x = 9,342,751.64
  5. Step 5: Solve for x
    x = 9,342,751.64/3,652.64
  6. Step 6: Final answer
    x = 2,557.81

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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.