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Finding the Fourth Proportional to 3,507.64, 5,260.40 and 2,889.81

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Solution

The fourth proportional to 3,507.64, 5,260.40 and 2,889.81 is: 4,333.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.64 : 5,260.40 = 2,889.81 : x
  2. Step 2: Convert to fraction form
    3,507.64/5,260.40 = 2,889.81/x
  3. Step 3: Cross multiply
    3,507.64x = 5,260.40 × 2,889.81
  4. Step 4: Simplify right side
    3,507.64x = 15,201,530.22
  5. Step 5: Solve for x
    x = 15,201,530.22/3,507.64
  6. Step 6: Final answer
    x = 4,333.84

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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.