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Finding the Fourth Proportional to 4,193.76, 6,290.27 and 1,420.37

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Solution

The fourth proportional to 4,193.76, 6,290.27 and 1,420.37 is: 2,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.76 : 6,290.27 = 1,420.37 : x
  2. Step 2: Convert to fraction form
    4,193.76/6,290.27 = 1,420.37/x
  3. Step 3: Cross multiply
    4,193.76x = 6,290.27 × 1,420.37
  4. Step 4: Simplify right side
    4,193.76x = 8,934,472.25
  5. Step 5: Solve for x
    x = 8,934,472.25/4,193.76
  6. Step 6: Final answer
    x = 2,130.42

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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.