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Finding the Fourth Proportional to 6,140.84, 8,475.15 and 3,750.30

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Solution

The fourth proportional to 6,140.84, 8,475.15 and 3,750.30 is: 5,175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.84 : 8,475.15 = 3,750.30 : x
  2. Step 2: Convert to fraction form
    6,140.84/8,475.15 = 3,750.30/x
  3. Step 3: Cross multiply
    6,140.84x = 8,475.15 × 3,750.30
  4. Step 4: Simplify right side
    6,140.84x = 31,784,355.05
  5. Step 5: Solve for x
    x = 31,784,355.05/6,140.84
  6. Step 6: Final answer
    x = 5,175.90

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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.