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Finding the Fourth Proportional to 4,120, 6,180.03 and 1,042

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Solution

The fourth proportional to 4,120, 6,180.03 and 1,042 is: 1,563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120 : 6,180.03 = 1,042 : x
  2. Step 2: Convert to fraction form
    4,120/6,180.03 = 1,042/x
  3. Step 3: Cross multiply
    4,120x = 6,180.03 × 1,042
  4. Step 4: Simplify right side
    4,120x = 6,439,591.26
  5. Step 5: Solve for x
    x = 6,439,591.26/4,120
  6. Step 6: Final answer
    x = 1,563.01

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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.