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Finding the Fourth Proportional to 4,953.84, 7,431.74 and 1,833.87

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Solution

The fourth proportional to 4,953.84, 7,431.74 and 1,833.87 is: 2,751.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.84 : 7,431.74 = 1,833.87 : x
  2. Step 2: Convert to fraction form
    4,953.84/7,431.74 = 1,833.87/x
  3. Step 3: Cross multiply
    4,953.84x = 7,431.74 × 1,833.87
  4. Step 4: Simplify right side
    4,953.84x = 13,628,854.44
  5. Step 5: Solve for x
    x = 13,628,854.44/4,953.84
  6. Step 6: Final answer
    x = 2,751.17

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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.