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Finding the Fourth Proportional to 5,630.94, 8,434.08 and 3,164.40

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Solution

The fourth proportional to 5,630.94, 8,434.08 and 3,164.40 is: 4,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.94 : 8,434.08 = 3,164.40 : x
  2. Step 2: Convert to fraction form
    5,630.94/8,434.08 = 3,164.40/x
  3. Step 3: Cross multiply
    5,630.94x = 8,434.08 × 3,164.40
  4. Step 4: Simplify right side
    5,630.94x = 26,688,802.75
  5. Step 5: Solve for x
    x = 26,688,802.75/5,630.94
  6. Step 6: Final answer
    x = 4,739.67

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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.