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Finding the Fourth Proportional to 3,378.69, 5,066.10 and 1,038.08

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Solution

The fourth proportional to 3,378.69, 5,066.10 and 1,038.08 is: 1,556.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.69 : 5,066.10 = 1,038.08 : x
  2. Step 2: Convert to fraction form
    3,378.69/5,066.10 = 1,038.08/x
  3. Step 3: Cross multiply
    3,378.69x = 5,066.10 × 1,038.08
  4. Step 4: Simplify right side
    3,378.69x = 5,259,029.75
  5. Step 5: Solve for x
    x = 5,259,029.75/3,378.69
  6. Step 6: Final answer
    x = 1,556.53

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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.