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Finding the Fourth Proportional to 5,738.74, 7,916.10 and 3,610.91

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Solution

The fourth proportional to 5,738.74, 7,916.10 and 3,610.91 is: 4,980.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.74 : 7,916.10 = 3,610.91 : x
  2. Step 2: Convert to fraction form
    5,738.74/7,916.10 = 3,610.91/x
  3. Step 3: Cross multiply
    5,738.74x = 7,916.10 × 3,610.91
  4. Step 4: Simplify right side
    5,738.74x = 28,584,324.65
  5. Step 5: Solve for x
    x = 28,584,324.65/5,738.74
  6. Step 6: Final answer
    x = 4,980.95

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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.