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Finding the Fourth Proportional to 3,514.54, 5,271.81 and 1,206.06

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Solution

The fourth proportional to 3,514.54, 5,271.81 and 1,206.06 is: 1,809.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.54 : 5,271.81 = 1,206.06 : x
  2. Step 2: Convert to fraction form
    3,514.54/5,271.81 = 1,206.06/x
  3. Step 3: Cross multiply
    3,514.54x = 5,271.81 × 1,206.06
  4. Step 4: Simplify right side
    3,514.54x = 6,358,119.17
  5. Step 5: Solve for x
    x = 6,358,119.17/3,514.54
  6. Step 6: Final answer
    x = 1,809.09

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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.