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Finding the Fourth Proportional to 4,642, 6,405.98 and 2,517.57

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Solution

The fourth proportional to 4,642, 6,405.98 and 2,517.57 is: 3,474.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642 : 6,405.98 = 2,517.57 : x
  2. Step 2: Convert to fraction form
    4,642/6,405.98 = 2,517.57/x
  3. Step 3: Cross multiply
    4,642x = 6,405.98 × 2,517.57
  4. Step 4: Simplify right side
    4,642x = 16,127,503.07
  5. Step 5: Solve for x
    x = 16,127,503.07/4,642
  6. Step 6: Final answer
    x = 3,474.26

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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.