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Finding the Fourth Proportional to 4,735.58, 7,107.02 and 2,140.34

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Solution

The fourth proportional to 4,735.58, 7,107.02 and 2,140.34 is: 3,212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.58 : 7,107.02 = 2,140.34 : x
  2. Step 2: Convert to fraction form
    4,735.58/7,107.02 = 2,140.34/x
  3. Step 3: Cross multiply
    4,735.58x = 7,107.02 × 2,140.34
  4. Step 4: Simplify right side
    4,735.58x = 15,211,428.49
  5. Step 5: Solve for x
    x = 15,211,428.49/4,735.58
  6. Step 6: Final answer
    x = 3,212.16

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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.