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Finding the Fourth Proportional to 3,271.62, 4,514.73 and 1,874.28

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Solution

The fourth proportional to 3,271.62, 4,514.73 and 1,874.28 is: 2,586.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.62 : 4,514.73 = 1,874.28 : x
  2. Step 2: Convert to fraction form
    3,271.62/4,514.73 = 1,874.28/x
  3. Step 3: Cross multiply
    3,271.62x = 4,514.73 × 1,874.28
  4. Step 4: Simplify right side
    3,271.62x = 8,461,868.14
  5. Step 5: Solve for x
    x = 8,461,868.14/3,271.62
  6. Step 6: Final answer
    x = 2,586.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.