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Finding the Fourth Proportional to 6,652.38, 9,180.76 and 3,820.58

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Solution

The fourth proportional to 6,652.38, 9,180.76 and 3,820.58 is: 5,272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.38 : 9,180.76 = 3,820.58 : x
  2. Step 2: Convert to fraction form
    6,652.38/9,180.76 = 3,820.58/x
  3. Step 3: Cross multiply
    6,652.38x = 9,180.76 × 3,820.58
  4. Step 4: Simplify right side
    6,652.38x = 35,075,772.59
  5. Step 5: Solve for x
    x = 35,075,772.59/6,652.38
  6. Step 6: Final answer
    x = 5,272.67

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Why These Related Problems?

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