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Finding the Fourth Proportional to 4,929.84, 6,804 and 2,941.56

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Solution

The fourth proportional to 4,929.84, 6,804 and 2,941.56 is: 4,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.84 : 6,804 = 2,941.56 : x
  2. Step 2: Convert to fraction form
    4,929.84/6,804 = 2,941.56/x
  3. Step 3: Cross multiply
    4,929.84x = 6,804 × 2,941.56
  4. Step 4: Simplify right side
    4,929.84x = 20,014,374.24
  5. Step 5: Solve for x
    x = 20,014,374.24/4,929.84
  6. Step 6: Final answer
    x = 4,059.84

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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.