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Finding the Fourth Proportional to 6,059.34, 8,365.14 and 4,080.38

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Solution

The fourth proportional to 6,059.34, 8,365.14 and 4,080.38 is: 5,633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.34 : 8,365.14 = 4,080.38 : x
  2. Step 2: Convert to fraction form
    6,059.34/8,365.14 = 4,080.38/x
  3. Step 3: Cross multiply
    6,059.34x = 8,365.14 × 4,080.38
  4. Step 4: Simplify right side
    6,059.34x = 34,132,908.13
  5. Step 5: Solve for x
    x = 34,132,908.13/6,059.34
  6. Step 6: Final answer
    x = 5,633.11

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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.