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Finding the Fourth Proportional to 5,906.34, 8,865 and 2,986.70

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Solution

The fourth proportional to 5,906.34, 8,865 and 2,986.70 is: 4,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.34 : 8,865 = 2,986.70 : x
  2. Step 2: Convert to fraction form
    5,906.34/8,865 = 2,986.70/x
  3. Step 3: Cross multiply
    5,906.34x = 8,865 × 2,986.70
  4. Step 4: Simplify right side
    5,906.34x = 26,477,051.18
  5. Step 5: Solve for x
    x = 26,477,051.18/5,906.34
  6. Step 6: Final answer
    x = 4,482.82

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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.