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Finding the Fourth Proportional to 4,657.37, 6,426.78 and 2,742.89

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Solution

The fourth proportional to 4,657.37, 6,426.78 and 2,742.89 is: 3,784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.37 : 6,426.78 = 2,742.89 : x
  2. Step 2: Convert to fraction form
    4,657.37/6,426.78 = 2,742.89/x
  3. Step 3: Cross multiply
    4,657.37x = 6,426.78 × 2,742.89
  4. Step 4: Simplify right side
    4,657.37x = 17,627,918.46
  5. Step 5: Solve for x
    x = 17,627,918.46/4,657.37
  6. Step 6: Final answer
    x = 3,784.96

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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.