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Finding the Fourth Proportional to 5,029.48, 7,546.02 and 2,564.92

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Solution

The fourth proportional to 5,029.48, 7,546.02 and 2,564.92 is: 3,848.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,029.48 : 7,546.02 = 2,564.92 : x
  2. Step 2: Convert to fraction form
    5,029.48/7,546.02 = 2,564.92/x
  3. Step 3: Cross multiply
    5,029.48x = 7,546.02 × 2,564.92
  4. Step 4: Simplify right side
    5,029.48x = 19,354,937.62
  5. Step 5: Solve for x
    x = 19,354,937.62/5,029.48
  6. Step 6: Final answer
    x = 3,848.30

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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.