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Finding the Fourth Proportional to 5,895.34, 8,847.06 and 3,814.45

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Solution

The fourth proportional to 5,895.34, 8,847.06 and 3,814.45 is: 5,724.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.34 : 8,847.06 = 3,814.45 : x
  2. Step 2: Convert to fraction form
    5,895.34/8,847.06 = 3,814.45/x
  3. Step 3: Cross multiply
    5,895.34x = 8,847.06 × 3,814.45
  4. Step 4: Simplify right side
    5,895.34x = 33,746,668.02
  5. Step 5: Solve for x
    x = 33,746,668.02/5,895.34
  6. Step 6: Final answer
    x = 5,724.30

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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.