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Finding the Fourth Proportional to 3,876.03, 5,346.48 and 3,130.02

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Solution

The fourth proportional to 3,876.03, 5,346.48 and 3,130.02 is: 4,317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.03 : 5,346.48 = 3,130.02 : x
  2. Step 2: Convert to fraction form
    3,876.03/5,346.48 = 3,130.02/x
  3. Step 3: Cross multiply
    3,876.03x = 5,346.48 × 3,130.02
  4. Step 4: Simplify right side
    3,876.03x = 16,734,589.33
  5. Step 5: Solve for x
    x = 16,734,589.33/3,876.03
  6. Step 6: Final answer
    x = 4,317.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.