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Finding the Fourth Proportional to 3,683.74, 5,081.52 and 2,425

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Solution

The fourth proportional to 3,683.74, 5,081.52 and 2,425 is: 3,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.74 : 5,081.52 = 2,425 : x
  2. Step 2: Convert to fraction form
    3,683.74/5,081.52 = 2,425/x
  3. Step 3: Cross multiply
    3,683.74x = 5,081.52 × 2,425
  4. Step 4: Simplify right side
    3,683.74x = 12,322,686.00
  5. Step 5: Solve for x
    x = 12,322,686.00/3,683.74
  6. Step 6: Final answer
    x = 3,345.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.