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Finding the Fourth Proportional to 3,495.84, 4,822.88 and 2,003.44

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Solution

The fourth proportional to 3,495.84, 4,822.88 and 2,003.44 is: 2,763.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.84 : 4,822.88 = 2,003.44 : x
  2. Step 2: Convert to fraction form
    3,495.84/4,822.88 = 2,003.44/x
  3. Step 3: Cross multiply
    3,495.84x = 4,822.88 × 2,003.44
  4. Step 4: Simplify right side
    3,495.84x = 9,662,350.71
  5. Step 5: Solve for x
    x = 9,662,350.71/3,495.84
  6. Step 6: Final answer
    x = 2,763.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.