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Finding the Fourth Proportional to 5,623.68, 7,758.72 and 3,528.96

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Solution

The fourth proportional to 5,623.68, 7,758.72 and 3,528.96 is: 4,868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.68 : 7,758.72 = 3,528.96 : x
  2. Step 2: Convert to fraction form
    5,623.68/7,758.72 = 3,528.96/x
  3. Step 3: Cross multiply
    5,623.68x = 7,758.72 × 3,528.96
  4. Step 4: Simplify right side
    5,623.68x = 27,380,212.53
  5. Step 5: Solve for x
    x = 27,380,212.53/5,623.68
  6. Step 6: Final answer
    x = 4,868.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.