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Finding the Fourth Proportional to 6,341.84, 8,749.90 and 3,822.76

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Solution

The fourth proportional to 6,341.84, 8,749.90 and 3,822.76 is: 5,274.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.84 : 8,749.90 = 3,822.76 : x
  2. Step 2: Convert to fraction form
    6,341.84/8,749.90 = 3,822.76/x
  3. Step 3: Cross multiply
    6,341.84x = 8,749.90 × 3,822.76
  4. Step 4: Simplify right side
    6,341.84x = 33,448,767.72
  5. Step 5: Solve for x
    x = 33,448,767.72/6,341.84
  6. Step 6: Final answer
    x = 5,274.30

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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.