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Finding the Fourth Proportional to 5,706.27, 8,558.06 and 1,756.98

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Solution

The fourth proportional to 5,706.27, 8,558.06 and 1,756.98 is: 2,635.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.27 : 8,558.06 = 1,756.98 : x
  2. Step 2: Convert to fraction form
    5,706.27/8,558.06 = 1,756.98/x
  3. Step 3: Cross multiply
    5,706.27x = 8,558.06 × 1,756.98
  4. Step 4: Simplify right side
    5,706.27x = 15,036,331.47
  5. Step 5: Solve for x
    x = 15,036,331.47/5,706.27
  6. Step 6: Final answer
    x = 2,635.05

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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.