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Finding the Fourth Proportional to 3,289.05, 4,935.52 and 1,210.51

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Solution

The fourth proportional to 3,289.05, 4,935.52 and 1,210.51 is: 1,816.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.05 : 4,935.52 = 1,210.51 : x
  2. Step 2: Convert to fraction form
    3,289.05/4,935.52 = 1,210.51/x
  3. Step 3: Cross multiply
    3,289.05x = 4,935.52 × 1,210.51
  4. Step 4: Simplify right side
    3,289.05x = 5,974,512.71
  5. Step 5: Solve for x
    x = 5,974,512.71/3,289.05
  6. Step 6: Final answer
    x = 1,816.49

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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.