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Finding the Fourth Proportional to 5,736.99, 8,602.65 and 2,038.71

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Solution

The fourth proportional to 5,736.99, 8,602.65 and 2,038.71 is: 3,057.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.99 : 8,602.65 = 2,038.71 : x
  2. Step 2: Convert to fraction form
    5,736.99/8,602.65 = 2,038.71/x
  3. Step 3: Cross multiply
    5,736.99x = 8,602.65 × 2,038.71
  4. Step 4: Simplify right side
    5,736.99x = 17,538,308.58
  5. Step 5: Solve for x
    x = 17,538,308.58/5,736.99
  6. Step 6: Final answer
    x = 3,057.06

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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.