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Finding the Fourth Proportional to 5,245.48, 7,867.56 and 1,497.34

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Solution

The fourth proportional to 5,245.48, 7,867.56 and 1,497.34 is: 2,245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.48 : 7,867.56 = 1,497.34 : x
  2. Step 2: Convert to fraction form
    5,245.48/7,867.56 = 1,497.34/x
  3. Step 3: Cross multiply
    5,245.48x = 7,867.56 × 1,497.34
  4. Step 4: Simplify right side
    5,245.48x = 11,780,412.29
  5. Step 5: Solve for x
    x = 11,780,412.29/5,245.48
  6. Step 6: Final answer
    x = 2,245.82

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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.