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Finding the Fourth Proportional to 3,605.84, 4,973.64 and 2,822.48

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Solution

The fourth proportional to 3,605.84, 4,973.64 and 2,822.48 is: 3,893.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.84 : 4,973.64 = 2,822.48 : x
  2. Step 2: Convert to fraction form
    3,605.84/4,973.64 = 2,822.48/x
  3. Step 3: Cross multiply
    3,605.84x = 4,973.64 × 2,822.48
  4. Step 4: Simplify right side
    3,605.84x = 14,037,999.43
  5. Step 5: Solve for x
    x = 14,037,999.43/3,605.84
  6. Step 6: Final answer
    x = 3,893.13

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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.