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Finding the Fourth Proportional to 4,570.42, 6,856.68 and 1,450.42

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Solution

The fourth proportional to 4,570.42, 6,856.68 and 1,450.42 is: 2,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.42 : 6,856.68 = 1,450.42 : x
  2. Step 2: Convert to fraction form
    4,570.42/6,856.68 = 1,450.42/x
  3. Step 3: Cross multiply
    4,570.42x = 6,856.68 × 1,450.42
  4. Step 4: Simplify right side
    4,570.42x = 9,945,065.81
  5. Step 5: Solve for x
    x = 9,945,065.81/4,570.42
  6. Step 6: Final answer
    x = 2,175.96

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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.