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Finding the Fourth Proportional to 4,201.04, 6,308.76 and 4,062.80

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Solution

The fourth proportional to 4,201.04, 6,308.76 and 4,062.80 is: 6,101.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.04 : 6,308.76 = 4,062.80 : x
  2. Step 2: Convert to fraction form
    4,201.04/6,308.76 = 4,062.80/x
  3. Step 3: Cross multiply
    4,201.04x = 6,308.76 × 4,062.80
  4. Step 4: Simplify right side
    4,201.04x = 25,631,230.13
  5. Step 5: Solve for x
    x = 25,631,230.13/4,201.04
  6. Step 6: Final answer
    x = 6,101.16

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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.