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Finding the Fourth Proportional to 4,677.44, 7,014.06 and 1,753.68

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Solution

The fourth proportional to 4,677.44, 7,014.06 and 1,753.68 is: 2,629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.44 : 7,014.06 = 1,753.68 : x
  2. Step 2: Convert to fraction form
    4,677.44/7,014.06 = 1,753.68/x
  3. Step 3: Cross multiply
    4,677.44x = 7,014.06 × 1,753.68
  4. Step 4: Simplify right side
    4,677.44x = 12,300,416.74
  5. Step 5: Solve for x
    x = 12,300,416.74/4,677.44
  6. Step 6: Final answer
    x = 2,629.74

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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.