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Finding the Fourth Proportional to 5,096.65, 7,030.13 and 3,682.41

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Solution

The fourth proportional to 5,096.65, 7,030.13 and 3,682.41 is: 5,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.65 : 7,030.13 = 3,682.41 : x
  2. Step 2: Convert to fraction form
    5,096.65/7,030.13 = 3,682.41/x
  3. Step 3: Cross multiply
    5,096.65x = 7,030.13 × 3,682.41
  4. Step 4: Simplify right side
    5,096.65x = 25,887,821.01
  5. Step 5: Solve for x
    x = 25,887,821.01/5,096.65
  6. Step 6: Final answer
    x = 5,079.38

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Why These Related Problems?

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