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Finding the Fourth Proportional to 5,576.77, 8,365.47 and 2,458.24

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Solution

The fourth proportional to 5,576.77, 8,365.47 and 2,458.24 is: 3,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.77 : 8,365.47 = 2,458.24 : x
  2. Step 2: Convert to fraction form
    5,576.77/8,365.47 = 2,458.24/x
  3. Step 3: Cross multiply
    5,576.77x = 8,365.47 × 2,458.24
  4. Step 4: Simplify right side
    5,576.77x = 20,564,332.97
  5. Step 5: Solve for x
    x = 20,564,332.97/5,576.77
  6. Step 6: Final answer
    x = 3,687.50

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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.