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Finding the Fourth Proportional to 6,360.40, 9,527.52 and 3,757

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Solution

The fourth proportional to 6,360.40, 9,527.52 and 3,757 is: 5,627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,360.40 : 9,527.52 = 3,757 : x
  2. Step 2: Convert to fraction form
    6,360.40/9,527.52 = 3,757/x
  3. Step 3: Cross multiply
    6,360.40x = 9,527.52 × 3,757
  4. Step 4: Simplify right side
    6,360.40x = 35,794,892.64
  5. Step 5: Solve for x
    x = 35,794,892.64/6,360.40
  6. Step 6: Final answer
    x = 5,627.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.