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Finding the Fourth Proportional to 4,658.94, 6,984.96 and 1,537.92

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Solution

The fourth proportional to 4,658.94, 6,984.96 and 1,537.92 is: 2,305.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.94 : 6,984.96 = 1,537.92 : x
  2. Step 2: Convert to fraction form
    4,658.94/6,984.96 = 1,537.92/x
  3. Step 3: Cross multiply
    4,658.94x = 6,984.96 × 1,537.92
  4. Step 4: Simplify right side
    4,658.94x = 10,742,309.68
  5. Step 5: Solve for x
    x = 10,742,309.68/4,658.94
  6. Step 6: Final answer
    x = 2,305.74

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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.