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Finding the Fourth Proportional to 5,576.77, 7,696.32 and 4,064.68

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Solution

The fourth proportional to 5,576.77, 7,696.32 and 4,064.68 is: 5,609.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.77 : 7,696.32 = 4,064.68 : x
  2. Step 2: Convert to fraction form
    5,576.77/7,696.32 = 4,064.68/x
  3. Step 3: Cross multiply
    5,576.77x = 7,696.32 × 4,064.68
  4. Step 4: Simplify right side
    5,576.77x = 31,283,072.36
  5. Step 5: Solve for x
    x = 31,283,072.36/5,576.77
  6. Step 6: Final answer
    x = 5,609.53

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1.5x scale

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.