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Finding the Fourth Proportional to 4,283.96, 6,426 and 1,364.72

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Solution

The fourth proportional to 4,283.96, 6,426 and 1,364.72 is: 2,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.96 : 6,426 = 1,364.72 : x
  2. Step 2: Convert to fraction form
    4,283.96/6,426 = 1,364.72/x
  3. Step 3: Cross multiply
    4,283.96x = 6,426 × 1,364.72
  4. Step 4: Simplify right side
    4,283.96x = 8,769,690.72
  5. Step 5: Solve for x
    x = 8,769,690.72/4,283.96
  6. Step 6: Final answer
    x = 2,047.10

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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.