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Finding the Fourth Proportional to 3,467.64, 5,201.06 and 870.38

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Solution

The fourth proportional to 3,467.64, 5,201.06 and 870.38 is: 1,305.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.64 : 5,201.06 = 870.38 : x
  2. Step 2: Convert to fraction form
    3,467.64/5,201.06 = 870.38/x
  3. Step 3: Cross multiply
    3,467.64x = 5,201.06 × 870.38
  4. Step 4: Simplify right side
    3,467.64x = 4,526,898.60
  5. Step 5: Solve for x
    x = 4,526,898.60/3,467.64
  6. Step 6: Final answer
    x = 1,305.47

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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.