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Finding the Fourth Proportional to 5,046.96, 7,564.36 and 4,456.48

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Solution

The fourth proportional to 5,046.96, 7,564.36 and 4,456.48 is: 6,679.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.96 : 7,564.36 = 4,456.48 : x
  2. Step 2: Convert to fraction form
    5,046.96/7,564.36 = 4,456.48/x
  3. Step 3: Cross multiply
    5,046.96x = 7,564.36 × 4,456.48
  4. Step 4: Simplify right side
    5,046.96x = 33,710,419.05
  5. Step 5: Solve for x
    x = 33,710,419.05/5,046.96
  6. Step 6: Final answer
    x = 6,679.35

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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.