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Finding the Fourth Proportional to 3,805.60, 5,705.70 and 1,464.70

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Solution

The fourth proportional to 3,805.60, 5,705.70 and 1,464.70 is: 2,196.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.60 : 5,705.70 = 1,464.70 : x
  2. Step 2: Convert to fraction form
    3,805.60/5,705.70 = 1,464.70/x
  3. Step 3: Cross multiply
    3,805.60x = 5,705.70 × 1,464.70
  4. Step 4: Simplify right side
    3,805.60x = 8,357,138.79
  5. Step 5: Solve for x
    x = 8,357,138.79/3,805.60
  6. Step 6: Final answer
    x = 2,196.01

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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.