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Finding the Fourth Proportional to 2,847.88, 4,271.82 and 2,597.32

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Solution

The fourth proportional to 2,847.88, 4,271.82 and 2,597.32 is: 3,895.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.88 : 4,271.82 = 2,597.32 : x
  2. Step 2: Convert to fraction form
    2,847.88/4,271.82 = 2,597.32/x
  3. Step 3: Cross multiply
    2,847.88x = 4,271.82 × 2,597.32
  4. Step 4: Simplify right side
    2,847.88x = 11,095,283.52
  5. Step 5: Solve for x
    x = 11,095,283.52/2,847.88
  6. Step 6: Final answer
    x = 3,895.98

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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.