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Finding the Fourth Proportional to 3,873.95, 5,809.10 and 1,408.11

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Solution

The fourth proportional to 3,873.95, 5,809.10 and 1,408.11 is: 2,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.95 : 5,809.10 = 1,408.11 : x
  2. Step 2: Convert to fraction form
    3,873.95/5,809.10 = 1,408.11/x
  3. Step 3: Cross multiply
    3,873.95x = 5,809.10 × 1,408.11
  4. Step 4: Simplify right side
    3,873.95x = 8,179,851.80
  5. Step 5: Solve for x
    x = 8,179,851.80/3,873.95
  6. Step 6: Final answer
    x = 2,111.50

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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.