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Finding the Fourth Proportional to 5,476.05, 8,214.12 and 1,580.58

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Solution

The fourth proportional to 5,476.05, 8,214.12 and 1,580.58 is: 2,370.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.05 : 8,214.12 = 1,580.58 : x
  2. Step 2: Convert to fraction form
    5,476.05/8,214.12 = 1,580.58/x
  3. Step 3: Cross multiply
    5,476.05x = 8,214.12 × 1,580.58
  4. Step 4: Simplify right side
    5,476.05x = 12,983,073.79
  5. Step 5: Solve for x
    x = 12,983,073.79/5,476.05
  6. Step 6: Final answer
    x = 2,370.88

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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.