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Finding the Fourth Proportional to 4,271.58, 5,894.46 and 2,782.35

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Solution

The fourth proportional to 4,271.58, 5,894.46 and 2,782.35 is: 3,839.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.58 : 5,894.46 = 2,782.35 : x
  2. Step 2: Convert to fraction form
    4,271.58/5,894.46 = 2,782.35/x
  3. Step 3: Cross multiply
    4,271.58x = 5,894.46 × 2,782.35
  4. Step 4: Simplify right side
    4,271.58x = 16,400,450.78
  5. Step 5: Solve for x
    x = 16,400,450.78/4,271.58
  6. Step 6: Final answer
    x = 3,839.43

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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.