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Finding the Fourth Proportional to 3,805.58, 5,709.49 and 1,465.79

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Solution

The fourth proportional to 3,805.58, 5,709.49 and 1,465.79 is: 2,199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.58 : 5,709.49 = 1,465.79 : x
  2. Step 2: Convert to fraction form
    3,805.58/5,709.49 = 1,465.79/x
  3. Step 3: Cross multiply
    3,805.58x = 5,709.49 × 1,465.79
  4. Step 4: Simplify right side
    3,805.58x = 8,368,881.14
  5. Step 5: Solve for x
    x = 8,368,881.14/3,805.58
  6. Step 6: Final answer
    x = 2,199.11

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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.