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Finding the Fourth Proportional to 5,358.58, 8,037.77 and 1,462.98

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Solution

The fourth proportional to 5,358.58, 8,037.77 and 1,462.98 is: 2,194.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.58 : 8,037.77 = 1,462.98 : x
  2. Step 2: Convert to fraction form
    5,358.58/8,037.77 = 1,462.98/x
  3. Step 3: Cross multiply
    5,358.58x = 8,037.77 × 1,462.98
  4. Step 4: Simplify right side
    5,358.58x = 11,759,089.44
  5. Step 5: Solve for x
    x = 11,759,089.44/5,358.58
  6. Step 6: Final answer
    x = 2,194.44

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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.