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Finding the Fourth Proportional to 4,602.56, 6,352.26 and 2,810.43

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Solution

The fourth proportional to 4,602.56, 6,352.26 and 2,810.43 is: 3,878.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.56 : 6,352.26 = 2,810.43 : x
  2. Step 2: Convert to fraction form
    4,602.56/6,352.26 = 2,810.43/x
  3. Step 3: Cross multiply
    4,602.56x = 6,352.26 × 2,810.43
  4. Step 4: Simplify right side
    4,602.56x = 17,852,571.53
  5. Step 5: Solve for x
    x = 17,852,571.53/4,602.56
  6. Step 6: Final answer
    x = 3,878.84

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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.