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Finding the Fourth Proportional to 4,873.66, 7,310.58 and 1,586.74

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Solution

The fourth proportional to 4,873.66, 7,310.58 and 1,586.74 is: 2,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873.66 : 7,310.58 = 1,586.74 : x
  2. Step 2: Convert to fraction form
    4,873.66/7,310.58 = 1,586.74/x
  3. Step 3: Cross multiply
    4,873.66x = 7,310.58 × 1,586.74
  4. Step 4: Simplify right side
    4,873.66x = 11,599,989.71
  5. Step 5: Solve for x
    x = 11,599,989.71/4,873.66
  6. Step 6: Final answer
    x = 2,380.14

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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.