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Finding the Fourth Proportional to 5,358.58, 8,024.83 and 3,710.50

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Solution

The fourth proportional to 5,358.58, 8,024.83 and 3,710.50 is: 5,556.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.58 : 8,024.83 = 3,710.50 : x
  2. Step 2: Convert to fraction form
    5,358.58/8,024.83 = 3,710.50/x
  3. Step 3: Cross multiply
    5,358.58x = 8,024.83 × 3,710.50
  4. Step 4: Simplify right side
    5,358.58x = 29,776,131.72
  5. Step 5: Solve for x
    x = 29,776,131.72/5,358.58
  6. Step 6: Final answer
    x = 5,556.72

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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.