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Finding the Fourth Proportional to 3,419.32, 4,698.16 and 2,719.48

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Solution

The fourth proportional to 3,419.32, 4,698.16 and 2,719.48 is: 3,736.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.32 : 4,698.16 = 2,719.48 : x
  2. Step 2: Convert to fraction form
    3,419.32/4,698.16 = 2,719.48/x
  3. Step 3: Cross multiply
    3,419.32x = 4,698.16 × 2,719.48
  4. Step 4: Simplify right side
    3,419.32x = 12,776,552.16
  5. Step 5: Solve for x
    x = 12,776,552.16/3,419.32
  6. Step 6: Final answer
    x = 3,736.58

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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.