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Finding the Fourth Proportional to 4,314.65, 6,463.44 and 3,385.58

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Solution

The fourth proportional to 4,314.65, 6,463.44 and 3,385.58 is: 5,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.65 : 6,463.44 = 3,385.58 : x
  2. Step 2: Convert to fraction form
    4,314.65/6,463.44 = 3,385.58/x
  3. Step 3: Cross multiply
    4,314.65x = 6,463.44 × 3,385.58
  4. Step 4: Simplify right side
    4,314.65x = 21,882,460.88
  5. Step 5: Solve for x
    x = 21,882,460.88/4,314.65
  6. Step 6: Final answer
    x = 5,071.67

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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.