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Finding the Fourth Proportional to 3,466.83, 5,198.76 and 1,001.07

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Solution

The fourth proportional to 3,466.83, 5,198.76 and 1,001.07 is: 1,501.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.83 : 5,198.76 = 1,001.07 : x
  2. Step 2: Convert to fraction form
    3,466.83/5,198.76 = 1,001.07/x
  3. Step 3: Cross multiply
    3,466.83x = 5,198.76 × 1,001.07
  4. Step 4: Simplify right side
    3,466.83x = 5,204,322.67
  5. Step 5: Solve for x
    x = 5,204,322.67/3,466.83
  6. Step 6: Final answer
    x = 1,501.18

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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.