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Finding the Fourth Proportional to 3,412.94, 5,118.47 and 1,464.71

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Solution

The fourth proportional to 3,412.94, 5,118.47 and 1,464.71 is: 2,196.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.94 : 5,118.47 = 1,464.71 : x
  2. Step 2: Convert to fraction form
    3,412.94/5,118.47 = 1,464.71/x
  3. Step 3: Cross multiply
    3,412.94x = 5,118.47 × 1,464.71
  4. Step 4: Simplify right side
    3,412.94x = 7,497,066.87
  5. Step 5: Solve for x
    x = 7,497,066.87/3,412.94
  6. Step 6: Final answer
    x = 2,196.66

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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.