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Finding the Fourth Proportional to 5,692.16, 8,538.24 and 1,588.16

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Solution

The fourth proportional to 5,692.16, 8,538.24 and 1,588.16 is: 2,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.16 : 8,538.24 = 1,588.16 : x
  2. Step 2: Convert to fraction form
    5,692.16/8,538.24 = 1,588.16/x
  3. Step 3: Cross multiply
    5,692.16x = 8,538.24 × 1,588.16
  4. Step 4: Simplify right side
    5,692.16x = 13,560,091.24
  5. Step 5: Solve for x
    x = 13,560,091.24/5,692.16
  6. Step 6: Final answer
    x = 2,382.24

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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.