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Finding the Fourth Proportional to 6,105.78, 8,424.51 and 3,587.69

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Solution

The fourth proportional to 6,105.78, 8,424.51 and 3,587.69 is: 4,950.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.78 : 8,424.51 = 3,587.69 : x
  2. Step 2: Convert to fraction form
    6,105.78/8,424.51 = 3,587.69/x
  3. Step 3: Cross multiply
    6,105.78x = 8,424.51 × 3,587.69
  4. Step 4: Simplify right side
    6,105.78x = 30,224,537.89
  5. Step 5: Solve for x
    x = 30,224,537.89/6,105.78
  6. Step 6: Final answer
    x = 4,950.15

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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.