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Finding the Fourth Proportional to 4,044.60, 6,024.39 and 3,855

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Solution

The fourth proportional to 4,044.60, 6,024.39 and 3,855 is: 5,741.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,044.60 : 6,024.39 = 3,855 : x
  2. Step 2: Convert to fraction form
    4,044.60/6,024.39 = 3,855/x
  3. Step 3: Cross multiply
    4,044.60x = 6,024.39 × 3,855
  4. Step 4: Simplify right side
    4,044.60x = 23,224,023.45
  5. Step 5: Solve for x
    x = 23,224,023.45/4,044.60
  6. Step 6: Final answer
    x = 5,741.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.