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Finding the Fourth Proportional to 3,158.70, 4,740.63 and 2,235.14

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Solution

The fourth proportional to 3,158.70, 4,740.63 and 2,235.14 is: 3,354.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.70 : 4,740.63 = 2,235.14 : x
  2. Step 2: Convert to fraction form
    3,158.70/4,740.63 = 2,235.14/x
  3. Step 3: Cross multiply
    3,158.70x = 4,740.63 × 2,235.14
  4. Step 4: Simplify right side
    3,158.70x = 10,595,984.10
  5. Step 5: Solve for x
    x = 10,595,984.10/3,158.70
  6. Step 6: Final answer
    x = 3,354.54

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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.