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Finding the Fourth Proportional to 4,194.08, 5,788.08 and 2,401.76

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Solution

The fourth proportional to 4,194.08, 5,788.08 and 2,401.76 is: 3,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.08 : 5,788.08 = 2,401.76 : x
  2. Step 2: Convert to fraction form
    4,194.08/5,788.08 = 2,401.76/x
  3. Step 3: Cross multiply
    4,194.08x = 5,788.08 × 2,401.76
  4. Step 4: Simplify right side
    4,194.08x = 13,901,579.02
  5. Step 5: Solve for x
    x = 13,901,579.02/4,194.08
  6. Step 6: Final answer
    x = 3,314.57

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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.