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Finding the Fourth Proportional to 5,024.01, 7,541.09 and 4,442.84

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Solution

The fourth proportional to 5,024.01, 7,541.09 and 4,442.84 is: 6,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.01 : 7,541.09 = 4,442.84 : x
  2. Step 2: Convert to fraction form
    5,024.01/7,541.09 = 4,442.84/x
  3. Step 3: Cross multiply
    5,024.01x = 7,541.09 × 4,442.84
  4. Step 4: Simplify right side
    5,024.01x = 33,503,841.32
  5. Step 5: Solve for x
    x = 33,503,841.32/5,024.01
  6. Step 6: Final answer
    x = 6,668.74

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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.