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Finding the Fourth Proportional to 5,689.45, 7,849.98 and 3,699.69

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Solution

The fourth proportional to 5,689.45, 7,849.98 and 3,699.69 is: 5,104.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.45 : 7,849.98 = 3,699.69 : x
  2. Step 2: Convert to fraction form
    5,689.45/7,849.98 = 3,699.69/x
  3. Step 3: Cross multiply
    5,689.45x = 7,849.98 × 3,699.69
  4. Step 4: Simplify right side
    5,689.45x = 29,042,492.51
  5. Step 5: Solve for x
    x = 29,042,492.51/5,689.45
  6. Step 6: Final answer
    x = 5,104.62

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