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Finding the Fourth Proportional to 5,289.42, 7,926.33 and 2,946.20

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Solution

The fourth proportional to 5,289.42, 7,926.33 and 2,946.20 is: 4,414.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.42 : 7,926.33 = 2,946.20 : x
  2. Step 2: Convert to fraction form
    5,289.42/7,926.33 = 2,946.20/x
  3. Step 3: Cross multiply
    5,289.42x = 7,926.33 × 2,946.20
  4. Step 4: Simplify right side
    5,289.42x = 23,352,513.81
  5. Step 5: Solve for x
    x = 23,352,513.81/5,289.42
  6. Step 6: Final answer
    x = 4,414.95

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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.