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Finding the Fourth Proportional to 4,283.68, 6,425.70 and 2,094.34

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Solution

The fourth proportional to 4,283.68, 6,425.70 and 2,094.34 is: 3,141.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.68 : 6,425.70 = 2,094.34 : x
  2. Step 2: Convert to fraction form
    4,283.68/6,425.70 = 2,094.34/x
  3. Step 3: Cross multiply
    4,283.68x = 6,425.70 × 2,094.34
  4. Step 4: Simplify right side
    4,283.68x = 13,457,600.54
  5. Step 5: Solve for x
    x = 13,457,600.54/4,283.68
  6. Step 6: Final answer
    x = 3,141.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.