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Finding the Fourth Proportional to 3,412.70, 5,116.94 and 1,564.38

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Solution

The fourth proportional to 3,412.70, 5,116.94 and 1,564.38 is: 2,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.70 : 5,116.94 = 1,564.38 : x
  2. Step 2: Convert to fraction form
    3,412.70/5,116.94 = 1,564.38/x
  3. Step 3: Cross multiply
    3,412.70x = 5,116.94 × 1,564.38
  4. Step 4: Simplify right side
    3,412.70x = 8,004,829.72
  5. Step 5: Solve for x
    x = 8,004,829.72/3,412.70
  6. Step 6: Final answer
    x = 2,345.60

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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.