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Finding the Fourth Proportional to 4,598.46, 6,884.37 and 4,123.62

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Solution

The fourth proportional to 4,598.46, 6,884.37 and 4,123.62 is: 6,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.46 : 6,884.37 = 4,123.62 : x
  2. Step 2: Convert to fraction form
    4,598.46/6,884.37 = 4,123.62/x
  3. Step 3: Cross multiply
    4,598.46x = 6,884.37 × 4,123.62
  4. Step 4: Simplify right side
    4,598.46x = 28,388,525.82
  5. Step 5: Solve for x
    x = 28,388,525.82/4,598.46
  6. Step 6: Final answer
    x = 6,173.49

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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.