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Finding the Fourth Proportional to 4,809.96, 7,215.56 and 1,689.74

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Solution

The fourth proportional to 4,809.96, 7,215.56 and 1,689.74 is: 2,534.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.96 : 7,215.56 = 1,689.74 : x
  2. Step 2: Convert to fraction form
    4,809.96/7,215.56 = 1,689.74/x
  3. Step 3: Cross multiply
    4,809.96x = 7,215.56 × 1,689.74
  4. Step 4: Simplify right side
    4,809.96x = 12,192,420.35
  5. Step 5: Solve for x
    x = 12,192,420.35/4,809.96
  6. Step 6: Final answer
    x = 2,534.83

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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.