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Finding the Fourth Proportional to 3,053.84, 4,213.78 and 1,858.16

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Solution

The fourth proportional to 3,053.84, 4,213.78 and 1,858.16 is: 2,563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.84 : 4,213.78 = 1,858.16 : x
  2. Step 2: Convert to fraction form
    3,053.84/4,213.78 = 1,858.16/x
  3. Step 3: Cross multiply
    3,053.84x = 4,213.78 × 1,858.16
  4. Step 4: Simplify right side
    3,053.84x = 7,829,883.33
  5. Step 5: Solve for x
    x = 7,829,883.33/3,053.84
  6. Step 6: Final answer
    x = 2,563.95

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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.