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Finding the Fourth Proportional to 4,346.42, 6,520.84 and 1,426.78

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Solution

The fourth proportional to 4,346.42, 6,520.84 and 1,426.78 is: 2,140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.42 : 6,520.84 = 1,426.78 : x
  2. Step 2: Convert to fraction form
    4,346.42/6,520.84 = 1,426.78/x
  3. Step 3: Cross multiply
    4,346.42x = 6,520.84 × 1,426.78
  4. Step 4: Simplify right side
    4,346.42x = 9,303,804.10
  5. Step 5: Solve for x
    x = 9,303,804.10/4,346.42
  6. Step 6: Final answer
    x = 2,140.57

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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.