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Finding the Fourth Proportional to 3,652.56, 5,477.52 and 1,311.92

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Solution

The fourth proportional to 3,652.56, 5,477.52 and 1,311.92 is: 1,967.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.56 : 5,477.52 = 1,311.92 : x
  2. Step 2: Convert to fraction form
    3,652.56/5,477.52 = 1,311.92/x
  3. Step 3: Cross multiply
    3,652.56x = 5,477.52 × 1,311.92
  4. Step 4: Simplify right side
    3,652.56x = 7,186,068.04
  5. Step 5: Solve for x
    x = 7,186,068.04/3,652.56
  6. Step 6: Final answer
    x = 1,967.41

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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.