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Finding the Fourth Proportional to 5,109.74, 7,052.10 and 3,014

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Solution

The fourth proportional to 5,109.74, 7,052.10 and 3,014 is: 4,159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.74 : 7,052.10 = 3,014 : x
  2. Step 2: Convert to fraction form
    5,109.74/7,052.10 = 3,014/x
  3. Step 3: Cross multiply
    5,109.74x = 7,052.10 × 3,014
  4. Step 4: Simplify right side
    5,109.74x = 21,255,029.40
  5. Step 5: Solve for x
    x = 21,255,029.40/5,109.74
  6. Step 6: Final answer
    x = 4,159.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.