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Finding the Fourth Proportional to 4,346.64, 6,520.60 and 1,424.72

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Solution

The fourth proportional to 4,346.64, 6,520.60 and 1,424.72 is: 2,137.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.64 : 6,520.60 = 1,424.72 : x
  2. Step 2: Convert to fraction form
    4,346.64/6,520.60 = 1,424.72/x
  3. Step 3: Cross multiply
    4,346.64x = 6,520.60 × 1,424.72
  4. Step 4: Simplify right side
    4,346.64x = 9,290,029.23
  5. Step 5: Solve for x
    x = 9,290,029.23/4,346.64
  6. Step 6: Final answer
    x = 2,137.29

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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.