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Finding the Fourth Proportional to 4,269, 5,892.30 and 2,407.08

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Solution

The fourth proportional to 4,269, 5,892.30 and 2,407.08 is: 3,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269 : 5,892.30 = 2,407.08 : x
  2. Step 2: Convert to fraction form
    4,269/5,892.30 = 2,407.08/x
  3. Step 3: Cross multiply
    4,269x = 5,892.30 × 2,407.08
  4. Step 4: Simplify right side
    4,269x = 14,183,237.48
  5. Step 5: Solve for x
    x = 14,183,237.48/4,269
  6. Step 6: Final answer
    x = 3,322.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.