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Finding the Fourth Proportional to 5,676.17, 8,506.46 and 2,896.98

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Solution

The fourth proportional to 5,676.17, 8,506.46 and 2,896.98 is: 4,341.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.17 : 8,506.46 = 2,896.98 : x
  2. Step 2: Convert to fraction form
    5,676.17/8,506.46 = 2,896.98/x
  3. Step 3: Cross multiply
    5,676.17x = 8,506.46 × 2,896.98
  4. Step 4: Simplify right side
    5,676.17x = 24,643,030.01
  5. Step 5: Solve for x
    x = 24,643,030.01/5,676.17
  6. Step 6: Final answer
    x = 4,341.49

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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.