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Finding the Fourth Proportional to 3,611.76, 5,417.88 and 1,271.52

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Solution

The fourth proportional to 3,611.76, 5,417.88 and 1,271.52 is: 1,907.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.76 : 5,417.88 = 1,271.52 : x
  2. Step 2: Convert to fraction form
    3,611.76/5,417.88 = 1,271.52/x
  3. Step 3: Cross multiply
    3,611.76x = 5,417.88 × 1,271.52
  4. Step 4: Simplify right side
    3,611.76x = 6,888,942.78
  5. Step 5: Solve for x
    x = 6,888,942.78/3,611.76
  6. Step 6: Final answer
    x = 1,907.36

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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.