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Finding the Fourth Proportional to 5,017.98, 6,927.54 and 3,029

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Solution

The fourth proportional to 5,017.98, 6,927.54 and 3,029 is: 4,181.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,017.98 : 6,927.54 = 3,029 : x
  2. Step 2: Convert to fraction form
    5,017.98/6,927.54 = 3,029/x
  3. Step 3: Cross multiply
    5,017.98x = 6,927.54 × 3,029
  4. Step 4: Simplify right side
    5,017.98x = 20,983,518.66
  5. Step 5: Solve for x
    x = 20,983,518.66/5,017.98
  6. Step 6: Final answer
    x = 4,181.67

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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.