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Finding the Fourth Proportional to 4,178.76, 5,765.01 and 2,410.26

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Solution

The fourth proportional to 4,178.76, 5,765.01 and 2,410.26 is: 3,325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.76 : 5,765.01 = 2,410.26 : x
  2. Step 2: Convert to fraction form
    4,178.76/5,765.01 = 2,410.26/x
  3. Step 3: Cross multiply
    4,178.76x = 5,765.01 × 2,410.26
  4. Step 4: Simplify right side
    4,178.76x = 13,895,173.00
  5. Step 5: Solve for x
    x = 13,895,173.00/4,178.76
  6. Step 6: Final answer
    x = 3,325.19

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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.