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Finding the Fourth Proportional to 3,938.93, 5,908.40 and 3,698.36

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Solution

The fourth proportional to 3,938.93, 5,908.40 and 3,698.36 is: 5,547.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,938.93 : 5,908.40 = 3,698.36 : x
  2. Step 2: Convert to fraction form
    3,938.93/5,908.40 = 3,698.36/x
  3. Step 3: Cross multiply
    3,938.93x = 5,908.40 × 3,698.36
  4. Step 4: Simplify right side
    3,938.93x = 21,851,390.22
  5. Step 5: Solve for x
    x = 21,851,390.22/3,938.93
  6. Step 6: Final answer
    x = 5,547.54

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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.