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Finding the Fourth Proportional to 3,804.32, 5,705.99 and 1,613.57

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Solution

The fourth proportional to 3,804.32, 5,705.99 and 1,613.57 is: 2,420.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.32 : 5,705.99 = 1,613.57 : x
  2. Step 2: Convert to fraction form
    3,804.32/5,705.99 = 1,613.57/x
  3. Step 3: Cross multiply
    3,804.32x = 5,705.99 × 1,613.57
  4. Step 4: Simplify right side
    3,804.32x = 9,207,024.91
  5. Step 5: Solve for x
    x = 9,207,024.91/3,804.32
  6. Step 6: Final answer
    x = 2,420.15

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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.