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Finding the Fourth Proportional to 3,461, 5,194.62 and 2,347.72

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Solution

The fourth proportional to 3,461, 5,194.62 and 2,347.72 is: 3,523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461 : 5,194.62 = 2,347.72 : x
  2. Step 2: Convert to fraction form
    3,461/5,194.62 = 2,347.72/x
  3. Step 3: Cross multiply
    3,461x = 5,194.62 × 2,347.72
  4. Step 4: Simplify right side
    3,461x = 12,195,513.27
  5. Step 5: Solve for x
    x = 12,195,513.27/3,461
  6. Step 6: Final answer
    x = 3,523.70

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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.