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Finding the Fourth Proportional to 4,703.14, 7,056.08 and 2,105.47

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Solution

The fourth proportional to 4,703.14, 7,056.08 and 2,105.47 is: 3,158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.14 : 7,056.08 = 2,105.47 : x
  2. Step 2: Convert to fraction form
    4,703.14/7,056.08 = 2,105.47/x
  3. Step 3: Cross multiply
    4,703.14x = 7,056.08 × 2,105.47
  4. Step 4: Simplify right side
    4,703.14x = 14,856,318.95
  5. Step 5: Solve for x
    x = 14,856,318.95/4,703.14
  6. Step 6: Final answer
    x = 3,158.81

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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.