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Finding the Fourth Proportional to 5,116.66, 7,674.76 and 1,606.58

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Solution

The fourth proportional to 5,116.66, 7,674.76 and 1,606.58 is: 2,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.66 : 7,674.76 = 1,606.58 : x
  2. Step 2: Convert to fraction form
    5,116.66/7,674.76 = 1,606.58/x
  3. Step 3: Cross multiply
    5,116.66x = 7,674.76 × 1,606.58
  4. Step 4: Simplify right side
    5,116.66x = 12,330,115.92
  5. Step 5: Solve for x
    x = 12,330,115.92/5,116.66
  6. Step 6: Final answer
    x = 2,409.80

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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.