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Finding the Fourth Proportional to 4,735.77, 7,102.12 and 2,236.57

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Solution

The fourth proportional to 4,735.77, 7,102.12 and 2,236.57 is: 3,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.77 : 7,102.12 = 2,236.57 : x
  2. Step 2: Convert to fraction form
    4,735.77/7,102.12 = 2,236.57/x
  3. Step 3: Cross multiply
    4,735.77x = 7,102.12 × 2,236.57
  4. Step 4: Simplify right side
    4,735.77x = 15,884,368.47
  5. Step 5: Solve for x
    x = 15,884,368.47/4,735.77
  6. Step 6: Final answer
    x = 3,354.13

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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.