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Finding the Fourth Proportional to 6,359.46, 8,776.40 and 3,706.71

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Solution

The fourth proportional to 6,359.46, 8,776.40 and 3,706.71 is: 5,115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.46 : 8,776.40 = 3,706.71 : x
  2. Step 2: Convert to fraction form
    6,359.46/8,776.40 = 3,706.71/x
  3. Step 3: Cross multiply
    6,359.46x = 8,776.40 × 3,706.71
  4. Step 4: Simplify right side
    6,359.46x = 32,531,551.11
  5. Step 5: Solve for x
    x = 32,531,551.11/6,359.46
  6. Step 6: Final answer
    x = 5,115.46

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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.