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Finding the Fourth Proportional to 4,809.32, 7,214.92 and 1,690.20

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Solution

The fourth proportional to 4,809.32, 7,214.92 and 1,690.20 is: 2,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.32 : 7,214.92 = 1,690.20 : x
  2. Step 2: Convert to fraction form
    4,809.32/7,214.92 = 1,690.20/x
  3. Step 3: Cross multiply
    4,809.32x = 7,214.92 × 1,690.20
  4. Step 4: Simplify right side
    4,809.32x = 12,194,657.78
  5. Step 5: Solve for x
    x = 12,194,657.78/4,809.32
  6. Step 6: Final answer
    x = 2,535.63

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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.