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Finding the Fourth Proportional to 3,564.84, 4,921.44 and 2,619.84

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Solution

The fourth proportional to 3,564.84, 4,921.44 and 2,619.84 is: 3,616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.84 : 4,921.44 = 2,619.84 : x
  2. Step 2: Convert to fraction form
    3,564.84/4,921.44 = 2,619.84/x
  3. Step 3: Cross multiply
    3,564.84x = 4,921.44 × 2,619.84
  4. Step 4: Simplify right side
    3,564.84x = 12,893,385.37
  5. Step 5: Solve for x
    x = 12,893,385.37/3,564.84
  6. Step 6: Final answer
    x = 3,616.82

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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.