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Finding the Fourth Proportional to 6,292.53, 9,438.80 and 3,690

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Solution

The fourth proportional to 6,292.53, 9,438.80 and 3,690 is: 5,535

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.53 : 9,438.80 = 3,690 : x
  2. Step 2: Convert to fraction form
    6,292.53/9,438.80 = 3,690/x
  3. Step 3: Cross multiply
    6,292.53x = 9,438.80 × 3,690
  4. Step 4: Simplify right side
    6,292.53x = 34,829,153.55
  5. Step 5: Solve for x
    x = 34,829,153.55/6,292.53
  6. Step 6: Final answer
    x = 5,535

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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.