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Finding the Fourth Proportional to 5,706.50, 7,885.02 and 4,391.56

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Solution

The fourth proportional to 5,706.50, 7,885.02 and 4,391.56 is: 6,068.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.50 : 7,885.02 = 4,391.56 : x
  2. Step 2: Convert to fraction form
    5,706.50/7,885.02 = 4,391.56/x
  3. Step 3: Cross multiply
    5,706.50x = 7,885.02 × 4,391.56
  4. Step 4: Simplify right side
    5,706.50x = 34,627,518.72
  5. Step 5: Solve for x
    x = 34,627,518.72/5,706.50
  6. Step 6: Final answer
    x = 6,068.09

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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.