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Finding the Fourth Proportional to 4,342.84, 6,510.90 and 2,709.88

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Solution

The fourth proportional to 4,342.84, 6,510.90 and 2,709.88 is: 4,062.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.84 : 6,510.90 = 2,709.88 : x
  2. Step 2: Convert to fraction form
    4,342.84/6,510.90 = 2,709.88/x
  3. Step 3: Cross multiply
    4,342.84x = 6,510.90 × 2,709.88
  4. Step 4: Simplify right side
    4,342.84x = 17,643,757.69
  5. Step 5: Solve for x
    x = 17,643,757.69/4,342.84
  6. Step 6: Final answer
    x = 4,062.72

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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.