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Finding the Fourth Proportional to 4,193.44, 6,289.80 and 1,420.05

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Solution

The fourth proportional to 4,193.44, 6,289.80 and 1,420.05 is: 2,129.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.44 : 6,289.80 = 1,420.05 : x
  2. Step 2: Convert to fraction form
    4,193.44/6,289.80 = 1,420.05/x
  3. Step 3: Cross multiply
    4,193.44x = 6,289.80 × 1,420.05
  4. Step 4: Simplify right side
    4,193.44x = 8,931,830.49
  5. Step 5: Solve for x
    x = 8,931,830.49/4,193.44
  6. Step 6: Final answer
    x = 2,129.95

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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.