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Finding the Fourth Proportional to 5,905.07, 8,858.12 and 1,522.49

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Solution

The fourth proportional to 5,905.07, 8,858.12 and 1,522.49 is: 2,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.07 : 8,858.12 = 1,522.49 : x
  2. Step 2: Convert to fraction form
    5,905.07/8,858.12 = 1,522.49/x
  3. Step 3: Cross multiply
    5,905.07x = 8,858.12 × 1,522.49
  4. Step 4: Simplify right side
    5,905.07x = 13,486,391.51
  5. Step 5: Solve for x
    x = 13,486,391.51/5,905.07
  6. Step 6: Final answer
    x = 2,283.87

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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.