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Finding the Fourth Proportional to 4,975.71, 7,464.04 and 1,465.72

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Solution

The fourth proportional to 4,975.71, 7,464.04 and 1,465.72 is: 2,198.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.71 : 7,464.04 = 1,465.72 : x
  2. Step 2: Convert to fraction form
    4,975.71/7,464.04 = 1,465.72/x
  3. Step 3: Cross multiply
    4,975.71x = 7,464.04 × 1,465.72
  4. Step 4: Simplify right side
    4,975.71x = 10,940,192.71
  5. Step 5: Solve for x
    x = 10,940,192.71/4,975.71
  6. Step 6: Final answer
    x = 2,198.72

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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.