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Finding the Fourth Proportional to 5,405.30, 8,111.55 and 3,065.30

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Solution

The fourth proportional to 5,405.30, 8,111.55 and 3,065.30 is: 4,599.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.30 : 8,111.55 = 3,065.30 : x
  2. Step 2: Convert to fraction form
    5,405.30/8,111.55 = 3,065.30/x
  3. Step 3: Cross multiply
    5,405.30x = 8,111.55 × 3,065.30
  4. Step 4: Simplify right side
    5,405.30x = 24,864,334.22
  5. Step 5: Solve for x
    x = 24,864,334.22/5,405.30
  6. Step 6: Final answer
    x = 4,599.99

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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.