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Finding the Fourth Proportional to 3,719.64, 5,102.61 and 3,496.08

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Solution

The fourth proportional to 3,719.64, 5,102.61 and 3,496.08 is: 4,795.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719.64 : 5,102.61 = 3,496.08 : x
  2. Step 2: Convert to fraction form
    3,719.64/5,102.61 = 3,496.08/x
  3. Step 3: Cross multiply
    3,719.64x = 5,102.61 × 3,496.08
  4. Step 4: Simplify right side
    3,719.64x = 17,839,132.77
  5. Step 5: Solve for x
    x = 17,839,132.77/3,719.64
  6. Step 6: Final answer
    x = 4,795.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.