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Finding the Fourth Proportional to 6,499.66, 8,969.95 and 3,666.02

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Solution

The fourth proportional to 6,499.66, 8,969.95 and 3,666.02 is: 5,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.66 : 8,969.95 = 3,666.02 : x
  2. Step 2: Convert to fraction form
    6,499.66/8,969.95 = 3,666.02/x
  3. Step 3: Cross multiply
    6,499.66x = 8,969.95 × 3,666.02
  4. Step 4: Simplify right side
    6,499.66x = 32,883,964.10
  5. Step 5: Solve for x
    x = 32,883,964.10/6,499.66
  6. Step 6: Final answer
    x = 5,059.33

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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.