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Finding the Fourth Proportional to 4,830.84, 6,666.38 and 2,734.92

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Solution

The fourth proportional to 4,830.84, 6,666.38 and 2,734.92 is: 3,774.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.84 : 6,666.38 = 2,734.92 : x
  2. Step 2: Convert to fraction form
    4,830.84/6,666.38 = 2,734.92/x
  3. Step 3: Cross multiply
    4,830.84x = 6,666.38 × 2,734.92
  4. Step 4: Simplify right side
    4,830.84x = 18,232,015.99
  5. Step 5: Solve for x
    x = 18,232,015.99/4,830.84
  6. Step 6: Final answer
    x = 3,774.09

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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.