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Finding the Fourth Proportional to 3,465.22, 4,782.00 and 1,871.87

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Solution

The fourth proportional to 3,465.22, 4,782.00 and 1,871.87 is: 2,583.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.22 : 4,782.00 = 1,871.87 : x
  2. Step 2: Convert to fraction form
    3,465.22/4,782.00 = 1,871.87/x
  3. Step 3: Cross multiply
    3,465.22x = 4,782.00 × 1,871.87
  4. Step 4: Simplify right side
    3,465.22x = 8,951,249.07
  5. Step 5: Solve for x
    x = 8,951,249.07/3,465.22
  6. Step 6: Final answer
    x = 2,583.17

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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.