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Finding the Fourth Proportional to 4,322.00, 5,958 and 3,059.15

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Solution

The fourth proportional to 4,322.00, 5,958 and 3,059.15 is: 4,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.00 : 5,958 = 3,059.15 : x
  2. Step 2: Convert to fraction form
    4,322.00/5,958 = 3,059.15/x
  3. Step 3: Cross multiply
    4,322.00x = 5,958 × 3,059.15
  4. Step 4: Simplify right side
    4,322.00x = 18,226,385.91
  5. Step 5: Solve for x
    x = 18,226,385.91/4,322.00
  6. Step 6: Final answer
    x = 4,217.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.