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Finding the Fourth Proportional to 4,677.36, 7,014.21 and 1,754.07

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Solution

The fourth proportional to 4,677.36, 7,014.21 and 1,754.07 is: 2,630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.36 : 7,014.21 = 1,754.07 : x
  2. Step 2: Convert to fraction form
    4,677.36/7,014.21 = 1,754.07/x
  3. Step 3: Cross multiply
    4,677.36x = 7,014.21 × 1,754.07
  4. Step 4: Simplify right side
    4,677.36x = 12,303,415.33
  5. Step 5: Solve for x
    x = 12,303,415.33/4,677.36
  6. Step 6: Final answer
    x = 2,630.42

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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.