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Finding the Fourth Proportional to 4,756.14, 7,129.35 and 1,635.21

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Solution

The fourth proportional to 4,756.14, 7,129.35 and 1,635.21 is: 2,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.14 : 7,129.35 = 1,635.21 : x
  2. Step 2: Convert to fraction form
    4,756.14/7,129.35 = 1,635.21/x
  3. Step 3: Cross multiply
    4,756.14x = 7,129.35 × 1,635.21
  4. Step 4: Simplify right side
    4,756.14x = 11,657,984.41
  5. Step 5: Solve for x
    x = 11,657,984.41/4,756.14
  6. Step 6: Final answer
    x = 2,451.14

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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.