Home / 3,412.23-5,117.73-946.40

Finding the Fourth Proportional to 3,412.23, 5,117.73 and 946.40

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Solution

The fourth proportional to 3,412.23, 5,117.73 and 946.40 is: 1,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.23 : 5,117.73 = 946.40 : x
  2. Step 2: Convert to fraction form
    3,412.23/5,117.73 = 946.40/x
  3. Step 3: Cross multiply
    3,412.23x = 5,117.73 × 946.40
  4. Step 4: Simplify right side
    3,412.23x = 4,843,394.08
  5. Step 5: Solve for x
    x = 4,843,394.08/3,412.23
  6. Step 6: Final answer
    x = 1,419.42

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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.