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Finding the Fourth Proportional to 3,158.99, 4,738.89 and 967.34

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Solution

The fourth proportional to 3,158.99, 4,738.89 and 967.34 is: 1,451.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.99 : 4,738.89 = 967.34 : x
  2. Step 2: Convert to fraction form
    3,158.99/4,738.89 = 967.34/x
  3. Step 3: Cross multiply
    3,158.99x = 4,738.89 × 967.34
  4. Step 4: Simplify right side
    3,158.99x = 4,584,094.16
  5. Step 5: Solve for x
    x = 4,584,094.16/3,158.99
  6. Step 6: Final answer
    x = 1,451.13

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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.