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Finding the Fourth Proportional to 4,283.64, 6,420.78 and 1,683.72

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Solution

The fourth proportional to 4,283.64, 6,420.78 and 1,683.72 is: 2,523.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.64 : 6,420.78 = 1,683.72 : x
  2. Step 2: Convert to fraction form
    4,283.64/6,420.78 = 1,683.72/x
  3. Step 3: Cross multiply
    4,283.64x = 6,420.78 × 1,683.72
  4. Step 4: Simplify right side
    4,283.64x = 10,810,795.70
  5. Step 5: Solve for x
    x = 10,810,795.70/4,283.64
  6. Step 6: Final answer
    x = 2,523.74

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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.