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Finding the Fourth Proportional to 3,537, 4,866.66 and 3,245.40

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Solution

The fourth proportional to 3,537, 4,866.66 and 3,245.40 is: 4,465.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537 : 4,866.66 = 3,245.40 : x
  2. Step 2: Convert to fraction form
    3,537/4,866.66 = 3,245.40/x
  3. Step 3: Cross multiply
    3,537x = 4,866.66 × 3,245.40
  4. Step 4: Simplify right side
    3,537x = 15,794,258.36
  5. Step 5: Solve for x
    x = 15,794,258.36/3,537
  6. Step 6: Final answer
    x = 4,465.44

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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.