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Finding the Fourth Proportional to 5,666.84, 7,820.78 and 3,429.26

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Solution

The fourth proportional to 5,666.84, 7,820.78 and 3,429.26 is: 4,732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.84 : 7,820.78 = 3,429.26 : x
  2. Step 2: Convert to fraction form
    5,666.84/7,820.78 = 3,429.26/x
  3. Step 3: Cross multiply
    5,666.84x = 7,820.78 × 3,429.26
  4. Step 4: Simplify right side
    5,666.84x = 26,819,488.02
  5. Step 5: Solve for x
    x = 26,819,488.02/5,666.84
  6. Step 6: Final answer
    x = 4,732.71

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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.