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Finding the Fourth Proportional to 3,247.06, 4,869.50 and 1,055.25

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Solution

The fourth proportional to 3,247.06, 4,869.50 and 1,055.25 is: 1,582.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.06 : 4,869.50 = 1,055.25 : x
  2. Step 2: Convert to fraction form
    3,247.06/4,869.50 = 1,055.25/x
  3. Step 3: Cross multiply
    3,247.06x = 4,869.50 × 1,055.25
  4. Step 4: Simplify right side
    3,247.06x = 5,138,542.51
  5. Step 5: Solve for x
    x = 5,138,542.51/3,247.06
  6. Step 6: Final answer
    x = 1,582.52

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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.