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Finding the Fourth Proportional to 4,709.94, 6,498 and 2,821.58

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Solution

The fourth proportional to 4,709.94, 6,498 and 2,821.58 is: 3,892.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.94 : 6,498 = 2,821.58 : x
  2. Step 2: Convert to fraction form
    4,709.94/6,498 = 2,821.58/x
  3. Step 3: Cross multiply
    4,709.94x = 6,498 × 2,821.58
  4. Step 4: Simplify right side
    4,709.94x = 18,334,626.84
  5. Step 5: Solve for x
    x = 18,334,626.84/4,709.94
  6. Step 6: Final answer
    x = 3,892.75

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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.