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Finding the Fourth Proportional to 5,836.14, 8,054.02 and 3,599.50

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Solution

The fourth proportional to 5,836.14, 8,054.02 and 3,599.50 is: 4,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.14 : 8,054.02 = 3,599.50 : x
  2. Step 2: Convert to fraction form
    5,836.14/8,054.02 = 3,599.50/x
  3. Step 3: Cross multiply
    5,836.14x = 8,054.02 × 3,599.50
  4. Step 4: Simplify right side
    5,836.14x = 28,990,444.99
  5. Step 5: Solve for x
    x = 28,990,444.99/5,836.14
  6. Step 6: Final answer
    x = 4,967.40

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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.