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Finding the Fourth Proportional to 4,324.50, 6,486.75 and 1,403.01

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Solution

The fourth proportional to 4,324.50, 6,486.75 and 1,403.01 is: 2,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,324.50 : 6,486.75 = 1,403.01 : x
  2. Step 2: Convert to fraction form
    4,324.50/6,486.75 = 1,403.01/x
  3. Step 3: Cross multiply
    4,324.50x = 6,486.75 × 1,403.01
  4. Step 4: Simplify right side
    4,324.50x = 9,100,975.12
  5. Step 5: Solve for x
    x = 9,100,975.12/4,324.50
  6. Step 6: Final answer
    x = 2,104.52

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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.