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Finding the Fourth Proportional to 4,494.85, 6,742.85 and 1,533.86

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Solution

The fourth proportional to 4,494.85, 6,742.85 and 1,533.86 is: 2,300.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.85 : 6,742.85 = 1,533.86 : x
  2. Step 2: Convert to fraction form
    4,494.85/6,742.85 = 1,533.86/x
  3. Step 3: Cross multiply
    4,494.85x = 6,742.85 × 1,533.86
  4. Step 4: Simplify right side
    4,494.85x = 10,342,600.47
  5. Step 5: Solve for x
    x = 10,342,600.47/4,494.85
  6. Step 6: Final answer
    x = 2,300.99

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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.