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Finding the Fourth Proportional to 3,688.56, 5,534.06 and 1,496.70

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Solution

The fourth proportional to 3,688.56, 5,534.06 and 1,496.70 is: 2,245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.56 : 5,534.06 = 1,496.70 : x
  2. Step 2: Convert to fraction form
    3,688.56/5,534.06 = 1,496.70/x
  3. Step 3: Cross multiply
    3,688.56x = 5,534.06 × 1,496.70
  4. Step 4: Simplify right side
    3,688.56x = 8,282,820.12
  5. Step 5: Solve for x
    x = 8,282,820.12/3,688.56
  6. Step 6: Final answer
    x = 2,245.54

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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.