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Finding the Fourth Proportional to 4,026.52, 6,045.90 and 3,828.52

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Solution

The fourth proportional to 4,026.52, 6,045.90 and 3,828.52 is: 5,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,026.52 : 6,045.90 = 3,828.52 : x
  2. Step 2: Convert to fraction form
    4,026.52/6,045.90 = 3,828.52/x
  3. Step 3: Cross multiply
    4,026.52x = 6,045.90 × 3,828.52
  4. Step 4: Simplify right side
    4,026.52x = 23,146,849.07
  5. Step 5: Solve for x
    x = 23,146,849.07/4,026.52
  6. Step 6: Final answer
    x = 5,748.60

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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.