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Finding the Fourth Proportional to 3,804.71, 5,707.06 and 1,612.24

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Solution

The fourth proportional to 3,804.71, 5,707.06 and 1,612.24 is: 2,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.71 : 5,707.06 = 1,612.24 : x
  2. Step 2: Convert to fraction form
    3,804.71/5,707.06 = 1,612.24/x
  3. Step 3: Cross multiply
    3,804.71x = 5,707.06 × 1,612.24
  4. Step 4: Simplify right side
    3,804.71x = 9,201,132.12
  5. Step 5: Solve for x
    x = 9,201,132.12/3,804.71
  6. Step 6: Final answer
    x = 2,418.36

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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.