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Finding the Fourth Proportional to 4,210.70, 6,316.05 and 1,289.22

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Solution

The fourth proportional to 4,210.70, 6,316.05 and 1,289.22 is: 1,933.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.70 : 6,316.05 = 1,289.22 : x
  2. Step 2: Convert to fraction form
    4,210.70/6,316.05 = 1,289.22/x
  3. Step 3: Cross multiply
    4,210.70x = 6,316.05 × 1,289.22
  4. Step 4: Simplify right side
    4,210.70x = 8,142,777.98
  5. Step 5: Solve for x
    x = 8,142,777.98/4,210.70
  6. Step 6: Final answer
    x = 1,933.83

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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.