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Finding the Fourth Proportional to 3,716.84, 5,576.26 and 1,496.34

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Solution

The fourth proportional to 3,716.84, 5,576.26 and 1,496.34 is: 2,244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.84 : 5,576.26 = 1,496.34 : x
  2. Step 2: Convert to fraction form
    3,716.84/5,576.26 = 1,496.34/x
  3. Step 3: Cross multiply
    3,716.84x = 5,576.26 × 1,496.34
  4. Step 4: Simplify right side
    3,716.84x = 8,343,980.89
  5. Step 5: Solve for x
    x = 8,343,980.89/3,716.84
  6. Step 6: Final answer
    x = 2,244.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.