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Finding the Fourth Proportional to 5,692, 8,540.70 and 3,606.16

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Solution

The fourth proportional to 5,692, 8,540.70 and 3,606.16 is: 5,410.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692 : 8,540.70 = 3,606.16 : x
  2. Step 2: Convert to fraction form
    5,692/8,540.70 = 3,606.16/x
  3. Step 3: Cross multiply
    5,692x = 8,540.70 × 3,606.16
  4. Step 4: Simplify right side
    5,692x = 30,799,130.71
  5. Step 5: Solve for x
    x = 30,799,130.71/5,692
  6. Step 6: Final answer
    x = 5,410.95

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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.