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Finding the Fourth Proportional to 4,657.68, 6,428.07 and 2,668.50

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Solution

The fourth proportional to 4,657.68, 6,428.07 and 2,668.50 is: 3,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.68 : 6,428.07 = 2,668.50 : x
  2. Step 2: Convert to fraction form
    4,657.68/6,428.07 = 2,668.50/x
  3. Step 3: Cross multiply
    4,657.68x = 6,428.07 × 2,668.50
  4. Step 4: Simplify right side
    4,657.68x = 17,153,304.80
  5. Step 5: Solve for x
    x = 17,153,304.80/4,657.68
  6. Step 6: Final answer
    x = 3,682.80

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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.