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Finding the Fourth Proportional to 5,692.30, 8,541.03 and 2,570.62

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Solution

The fourth proportional to 5,692.30, 8,541.03 and 2,570.62 is: 3,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.30 : 8,541.03 = 2,570.62 : x
  2. Step 2: Convert to fraction form
    5,692.30/8,541.03 = 2,570.62/x
  3. Step 3: Cross multiply
    5,692.30x = 8,541.03 × 2,570.62
  4. Step 4: Simplify right side
    5,692.30x = 21,955,742.54
  5. Step 5: Solve for x
    x = 21,955,742.54/5,692.30
  6. Step 6: Final answer
    x = 3,857.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.