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Finding the Fourth Proportional to 4,677.61, 7,014.58 and 1,754.32

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Solution

The fourth proportional to 4,677.61, 7,014.58 and 1,754.32 is: 2,630.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.61 : 7,014.58 = 1,754.32 : x
  2. Step 2: Convert to fraction form
    4,677.61/7,014.58 = 1,754.32/x
  3. Step 3: Cross multiply
    4,677.61x = 7,014.58 × 1,754.32
  4. Step 4: Simplify right side
    4,677.61x = 12,305,817.99
  5. Step 5: Solve for x
    x = 12,305,817.99/4,677.61
  6. Step 6: Final answer
    x = 2,630.79

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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.