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Finding the Fourth Proportional to 4,558.38, 6,829.72 and 3,559.74

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Solution

The fourth proportional to 4,558.38, 6,829.72 and 3,559.74 is: 5,333.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,558.38 : 6,829.72 = 3,559.74 : x
  2. Step 2: Convert to fraction form
    4,558.38/6,829.72 = 3,559.74/x
  3. Step 3: Cross multiply
    4,558.38x = 6,829.72 × 3,559.74
  4. Step 4: Simplify right side
    4,558.38x = 24,312,027.47
  5. Step 5: Solve for x
    x = 24,312,027.47/4,558.38
  6. Step 6: Final answer
    x = 5,333.48

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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.