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Finding the Fourth Proportional to 4,321.99, 6,484.01 and 1,400.29

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Solution

The fourth proportional to 4,321.99, 6,484.01 and 1,400.29 is: 2,100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.99 : 6,484.01 = 1,400.29 : x
  2. Step 2: Convert to fraction form
    4,321.99/6,484.01 = 1,400.29/x
  3. Step 3: Cross multiply
    4,321.99x = 6,484.01 × 1,400.29
  4. Step 4: Simplify right side
    4,321.99x = 9,079,494.36
  5. Step 5: Solve for x
    x = 9,079,494.36/4,321.99
  6. Step 6: Final answer
    x = 2,100.77

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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.