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Finding the Fourth Proportional to 4,821.09, 7,231.65 and 1,358.34

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Solution

The fourth proportional to 4,821.09, 7,231.65 and 1,358.34 is: 2,037.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.09 : 7,231.65 = 1,358.34 : x
  2. Step 2: Convert to fraction form
    4,821.09/7,231.65 = 1,358.34/x
  3. Step 3: Cross multiply
    4,821.09x = 7,231.65 × 1,358.34
  4. Step 4: Simplify right side
    4,821.09x = 9,823,039.46
  5. Step 5: Solve for x
    x = 9,823,039.46/4,821.09
  6. Step 6: Final answer
    x = 2,037.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.