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Finding the Fourth Proportional to 4,471.30, 6,170.94 and 2,582.88

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Solution

The fourth proportional to 4,471.30, 6,170.94 and 2,582.88 is: 3,564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.30 : 6,170.94 = 2,582.88 : x
  2. Step 2: Convert to fraction form
    4,471.30/6,170.94 = 2,582.88/x
  3. Step 3: Cross multiply
    4,471.30x = 6,170.94 × 2,582.88
  4. Step 4: Simplify right side
    4,471.30x = 15,938,797.51
  5. Step 5: Solve for x
    x = 15,938,797.51/4,471.30
  6. Step 6: Final answer
    x = 3,564.69

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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.