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Finding the Fourth Proportional to 4,354.09, 6,532.24 and 2,015.78

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Solution

The fourth proportional to 4,354.09, 6,532.24 and 2,015.78 is: 3,024.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.09 : 6,532.24 = 2,015.78 : x
  2. Step 2: Convert to fraction form
    4,354.09/6,532.24 = 2,015.78/x
  3. Step 3: Cross multiply
    4,354.09x = 6,532.24 × 2,015.78
  4. Step 4: Simplify right side
    4,354.09x = 13,167,521.05
  5. Step 5: Solve for x
    x = 13,167,521.05/4,354.09
  6. Step 6: Final answer
    x = 3,024.17

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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.