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Finding the Fourth Proportional to 4,161.60, 6,224.04 and 3,702.60

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Solution

The fourth proportional to 4,161.60, 6,224.04 and 3,702.60 is: 5,537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.60 : 6,224.04 = 3,702.60 : x
  2. Step 2: Convert to fraction form
    4,161.60/6,224.04 = 3,702.60/x
  3. Step 3: Cross multiply
    4,161.60x = 6,224.04 × 3,702.60
  4. Step 4: Simplify right side
    4,161.60x = 23,045,130.50
  5. Step 5: Solve for x
    x = 23,045,130.50/4,161.60
  6. Step 6: Final answer
    x = 5,537.57

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1.5x scale

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.