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Finding the Fourth Proportional to 4,270.56, 6,406.56 and 1,497.12

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Solution

The fourth proportional to 4,270.56, 6,406.56 and 1,497.12 is: 2,245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.56 : 6,406.56 = 1,497.12 : x
  2. Step 2: Convert to fraction form
    4,270.56/6,406.56 = 1,497.12/x
  3. Step 3: Cross multiply
    4,270.56x = 6,406.56 × 1,497.12
  4. Step 4: Simplify right side
    4,270.56x = 9,591,389.11
  5. Step 5: Solve for x
    x = 9,591,389.11/4,270.56
  6. Step 6: Final answer
    x = 2,245.93

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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.