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Finding the Fourth Proportional to 4,701, 7,051.62 and 1,581.05

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Solution

The fourth proportional to 4,701, 7,051.62 and 1,581.05 is: 2,371.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701 : 7,051.62 = 1,581.05 : x
  2. Step 2: Convert to fraction form
    4,701/7,051.62 = 1,581.05/x
  3. Step 3: Cross multiply
    4,701x = 7,051.62 × 1,581.05
  4. Step 4: Simplify right side
    4,701x = 11,148,928.54
  5. Step 5: Solve for x
    x = 11,148,928.54/4,701
  6. Step 6: Final answer
    x = 2,371.61

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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.