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Finding the Fourth Proportional to 4,298.84, 5,928.90 and 2,882.78

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Solution

The fourth proportional to 4,298.84, 5,928.90 and 2,882.78 is: 3,975.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.84 : 5,928.90 = 2,882.78 : x
  2. Step 2: Convert to fraction form
    4,298.84/5,928.90 = 2,882.78/x
  3. Step 3: Cross multiply
    4,298.84x = 5,928.90 × 2,882.78
  4. Step 4: Simplify right side
    4,298.84x = 17,091,714.34
  5. Step 5: Solve for x
    x = 17,091,714.34/4,298.84
  6. Step 6: Final answer
    x = 3,975.89

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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.