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Finding the Fourth Proportional to 4,865.56, 6,706.19 and 4,157.42

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Solution

The fourth proportional to 4,865.56, 6,706.19 and 4,157.42 is: 5,730.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.56 : 6,706.19 = 4,157.42 : x
  2. Step 2: Convert to fraction form
    4,865.56/6,706.19 = 4,157.42/x
  3. Step 3: Cross multiply
    4,865.56x = 6,706.19 × 4,157.42
  4. Step 4: Simplify right side
    4,865.56x = 27,880,425.29
  5. Step 5: Solve for x
    x = 27,880,425.29/4,865.56
  6. Step 6: Final answer
    x = 5,730.16

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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.