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Finding the Fourth Proportional to 3,271.04, 4,907.26 and 1,710.63

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Solution

The fourth proportional to 3,271.04, 4,907.26 and 1,710.63 is: 2,566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.04 : 4,907.26 = 1,710.63 : x
  2. Step 2: Convert to fraction form
    3,271.04/4,907.26 = 1,710.63/x
  3. Step 3: Cross multiply
    3,271.04x = 4,907.26 × 1,710.63
  4. Step 4: Simplify right side
    3,271.04x = 8,394,497.62
  5. Step 5: Solve for x
    x = 8,394,497.62/3,271.04
  6. Step 6: Final answer
    x = 2,566.31

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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.