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Finding the Fourth Proportional to 4,400.36, 6,071.78 and 2,537

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Solution

The fourth proportional to 4,400.36, 6,071.78 and 2,537 is: 3,500.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,400.36 : 6,071.78 = 2,537 : x
  2. Step 2: Convert to fraction form
    4,400.36/6,071.78 = 2,537/x
  3. Step 3: Cross multiply
    4,400.36x = 6,071.78 × 2,537
  4. Step 4: Simplify right side
    4,400.36x = 15,404,105.86
  5. Step 5: Solve for x
    x = 15,404,105.86/4,400.36
  6. Step 6: Final answer
    x = 3,500.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.