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Finding the Fourth Proportional to 3,533.86, 4,871.14 and 2,823.46

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Solution

The fourth proportional to 3,533.86, 4,871.14 and 2,823.46 is: 3,891.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.86 : 4,871.14 = 2,823.46 : x
  2. Step 2: Convert to fraction form
    3,533.86/4,871.14 = 2,823.46/x
  3. Step 3: Cross multiply
    3,533.86x = 4,871.14 × 2,823.46
  4. Step 4: Simplify right side
    3,533.86x = 13,753,492.99
  5. Step 5: Solve for x
    x = 13,753,492.99/3,533.86
  6. Step 6: Final answer
    x = 3,891.92

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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.