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Finding the Fourth Proportional to 5,669.70, 7,820.73 and 3,988.14

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Solution

The fourth proportional to 5,669.70, 7,820.73 and 3,988.14 is: 5,501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.70 : 7,820.73 = 3,988.14 : x
  2. Step 2: Convert to fraction form
    5,669.70/7,820.73 = 3,988.14/x
  3. Step 3: Cross multiply
    5,669.70x = 7,820.73 × 3,988.14
  4. Step 4: Simplify right side
    5,669.70x = 31,190,166.14
  5. Step 5: Solve for x
    x = 31,190,166.14/5,669.70
  6. Step 6: Final answer
    x = 5,501.20

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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.