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Finding the Fourth Proportional to 4,387.66, 6,581.83 and 1,465.97

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Solution

The fourth proportional to 4,387.66, 6,581.83 and 1,465.97 is: 2,199.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,387.66 : 6,581.83 = 1,465.97 : x
  2. Step 2: Convert to fraction form
    4,387.66/6,581.83 = 1,465.97/x
  3. Step 3: Cross multiply
    4,387.66x = 6,581.83 × 1,465.97
  4. Step 4: Simplify right side
    4,387.66x = 9,648,728.75
  5. Step 5: Solve for x
    x = 9,648,728.75/4,387.66
  6. Step 6: Final answer
    x = 2,199.06

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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.