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Finding the Fourth Proportional to 4,579.32, 6,871.86 and 2,271

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Solution

The fourth proportional to 4,579.32, 6,871.86 and 2,271 is: 3,407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,579.32 : 6,871.86 = 2,271 : x
  2. Step 2: Convert to fraction form
    4,579.32/6,871.86 = 2,271/x
  3. Step 3: Cross multiply
    4,579.32x = 6,871.86 × 2,271
  4. Step 4: Simplify right side
    4,579.32x = 15,605,994.06
  5. Step 5: Solve for x
    x = 15,605,994.06/4,579.32
  6. Step 6: Final answer
    x = 3,407.93

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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.