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Finding the Fourth Proportional to 5,692.28, 8,505 and 5,588.19

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Solution

The fourth proportional to 5,692.28, 8,505 and 5,588.19 is: 8,349.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.28 : 8,505 = 5,588.19 : x
  2. Step 2: Convert to fraction form
    5,692.28/8,505 = 5,588.19/x
  3. Step 3: Cross multiply
    5,692.28x = 8,505 × 5,588.19
  4. Step 4: Simplify right side
    5,692.28x = 47,527,555.95
  5. Step 5: Solve for x
    x = 47,527,555.95/5,692.28
  6. Step 6: Final answer
    x = 8,349.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.