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Finding the Fourth Proportional to 4,743.12, 7,146.30 and 4,281.42

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Solution

The fourth proportional to 4,743.12, 7,146.30 and 4,281.42 is: 6,450.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.12 : 7,146.30 = 4,281.42 : x
  2. Step 2: Convert to fraction form
    4,743.12/7,146.30 = 4,281.42/x
  3. Step 3: Cross multiply
    4,743.12x = 7,146.30 × 4,281.42
  4. Step 4: Simplify right side
    4,743.12x = 30,596,311.75
  5. Step 5: Solve for x
    x = 30,596,311.75/4,743.12
  6. Step 6: Final answer
    x = 6,450.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.