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Finding the Fourth Proportional to 5,676.90, 8,510.56 and 2,713.67

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Solution

The fourth proportional to 5,676.90, 8,510.56 and 2,713.67 is: 4,068.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.90 : 8,510.56 = 2,713.67 : x
  2. Step 2: Convert to fraction form
    5,676.90/8,510.56 = 2,713.67/x
  3. Step 3: Cross multiply
    5,676.90x = 8,510.56 × 2,713.67
  4. Step 4: Simplify right side
    5,676.90x = 23,094,851.36
  5. Step 5: Solve for x
    x = 23,094,851.36/5,676.90
  6. Step 6: Final answer
    x = 4,068.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.