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Finding the Fourth Proportional to 5,676.84, 8,515.66 and 1,516.76

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Solution

The fourth proportional to 5,676.84, 8,515.66 and 1,516.76 is: 2,275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.84 : 8,515.66 = 1,516.76 : x
  2. Step 2: Convert to fraction form
    5,676.84/8,515.66 = 1,516.76/x
  3. Step 3: Cross multiply
    5,676.84x = 8,515.66 × 1,516.76
  4. Step 4: Simplify right side
    5,676.84x = 12,916,212.46
  5. Step 5: Solve for x
    x = 12,916,212.46/5,676.84
  6. Step 6: Final answer
    x = 2,275.25

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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.