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Finding the Fourth Proportional to 5,235.84, 7,219.55 and 3,817.02

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Solution

The fourth proportional to 5,235.84, 7,219.55 and 3,817.02 is: 5,263.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.84 : 7,219.55 = 3,817.02 : x
  2. Step 2: Convert to fraction form
    5,235.84/7,219.55 = 3,817.02/x
  3. Step 3: Cross multiply
    5,235.84x = 7,219.55 × 3,817.02
  4. Step 4: Simplify right side
    5,235.84x = 27,557,181.89
  5. Step 5: Solve for x
    x = 27,557,181.89/5,235.84
  6. Step 6: Final answer
    x = 5,263.18

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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.