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Finding the Fourth Proportional to 4,042.58, 5,583 and 2,786.90

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Solution

The fourth proportional to 4,042.58, 5,583 and 2,786.90 is: 3,848.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,042.58 : 5,583 = 2,786.90 : x
  2. Step 2: Convert to fraction form
    4,042.58/5,583 = 2,786.90/x
  3. Step 3: Cross multiply
    4,042.58x = 5,583 × 2,786.90
  4. Step 4: Simplify right side
    4,042.58x = 15,559,262.70
  5. Step 5: Solve for x
    x = 15,559,262.70/4,042.58
  6. Step 6: Final answer
    x = 3,848.84

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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.