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Finding the Fourth Proportional to 3,506.36, 5,258.76 and 1,425.81

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Solution

The fourth proportional to 3,506.36, 5,258.76 and 1,425.81 is: 2,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.36 : 5,258.76 = 1,425.81 : x
  2. Step 2: Convert to fraction form
    3,506.36/5,258.76 = 1,425.81/x
  3. Step 3: Cross multiply
    3,506.36x = 5,258.76 × 1,425.81
  4. Step 4: Simplify right side
    3,506.36x = 7,497,992.60
  5. Step 5: Solve for x
    x = 7,497,992.60/3,506.36
  6. Step 6: Final answer
    x = 2,138.40

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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.