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Finding the Fourth Proportional to 3,798.66, 5,699.60 and 3,492.15

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Solution

The fourth proportional to 3,798.66, 5,699.60 and 3,492.15 is: 5,239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.66 : 5,699.60 = 3,492.15 : x
  2. Step 2: Convert to fraction form
    3,798.66/5,699.60 = 3,492.15/x
  3. Step 3: Cross multiply
    3,798.66x = 5,699.60 × 3,492.15
  4. Step 4: Simplify right side
    3,798.66x = 19,903,858.14
  5. Step 5: Solve for x
    x = 19,903,858.14/3,798.66
  6. Step 6: Final answer
    x = 5,239.71

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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.