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Finding the Fourth Proportional to 4,750.32, 7,123.86 and 1,829.64

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Solution

The fourth proportional to 4,750.32, 7,123.86 and 1,829.64 is: 2,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,750.32 : 7,123.86 = 1,829.64 : x
  2. Step 2: Convert to fraction form
    4,750.32/7,123.86 = 1,829.64/x
  3. Step 3: Cross multiply
    4,750.32x = 7,123.86 × 1,829.64
  4. Step 4: Simplify right side
    4,750.32x = 13,034,099.21
  5. Step 5: Solve for x
    x = 13,034,099.21/4,750.32
  6. Step 6: Final answer
    x = 2,743.84

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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.