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Finding the Fourth Proportional to 5,211.84, 7,813.44 and 3,647.40

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Solution

The fourth proportional to 5,211.84, 7,813.44 and 3,647.40 is: 5,468.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.84 : 7,813.44 = 3,647.40 : x
  2. Step 2: Convert to fraction form
    5,211.84/7,813.44 = 3,647.40/x
  3. Step 3: Cross multiply
    5,211.84x = 7,813.44 × 3,647.40
  4. Step 4: Simplify right side
    5,211.84x = 28,498,741.06
  5. Step 5: Solve for x
    x = 28,498,741.06/5,211.84
  6. Step 6: Final answer
    x = 5,468.08

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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.