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Finding the Fourth Proportional to 3,476.14, 5,214.72 and 1,010.63

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Solution

The fourth proportional to 3,476.14, 5,214.72 and 1,010.63 is: 1,516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.14 : 5,214.72 = 1,010.63 : x
  2. Step 2: Convert to fraction form
    3,476.14/5,214.72 = 1,010.63/x
  3. Step 3: Cross multiply
    3,476.14x = 5,214.72 × 1,010.63
  4. Step 4: Simplify right side
    3,476.14x = 5,270,152.47
  5. Step 5: Solve for x
    x = 5,270,152.47/3,476.14
  6. Step 6: Final answer
    x = 1,516.09

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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.