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Finding the Fourth Proportional to 4,166.84, 6,253.33 and 1,975.56

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Solution

The fourth proportional to 4,166.84, 6,253.33 and 1,975.56 is: 2,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.84 : 6,253.33 = 1,975.56 : x
  2. Step 2: Convert to fraction form
    4,166.84/6,253.33 = 1,975.56/x
  3. Step 3: Cross multiply
    4,166.84x = 6,253.33 × 1,975.56
  4. Step 4: Simplify right side
    4,166.84x = 12,353,828.61
  5. Step 5: Solve for x
    x = 12,353,828.61/4,166.84
  6. Step 6: Final answer
    x = 2,964.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.