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Finding the Fourth Proportional to 3,655.84, 5,042.64 and 3,529.12

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Solution

The fourth proportional to 3,655.84, 5,042.64 and 3,529.12 is: 4,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.84 : 5,042.64 = 3,529.12 : x
  2. Step 2: Convert to fraction form
    3,655.84/5,042.64 = 3,529.12/x
  3. Step 3: Cross multiply
    3,655.84x = 5,042.64 × 3,529.12
  4. Step 4: Simplify right side
    3,655.84x = 17,796,081.68
  5. Step 5: Solve for x
    x = 17,796,081.68/3,655.84
  6. Step 6: Final answer
    x = 4,867.85

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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.