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Finding the Fourth Proportional to 5,323.64, 7,983.06 and 1,626.32

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Solution

The fourth proportional to 5,323.64, 7,983.06 and 1,626.32 is: 2,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.64 : 7,983.06 = 1,626.32 : x
  2. Step 2: Convert to fraction form
    5,323.64/7,983.06 = 1,626.32/x
  3. Step 3: Cross multiply
    5,323.64x = 7,983.06 × 1,626.32
  4. Step 4: Simplify right side
    5,323.64x = 12,983,010.14
  5. Step 5: Solve for x
    x = 12,983,010.14/5,323.64
  6. Step 6: Final answer
    x = 2,438.75

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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.