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Finding the Fourth Proportional to 5,572, 8,358 and 1,676.41

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Solution

The fourth proportional to 5,572, 8,358 and 1,676.41 is: 2,514.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572 : 8,358 = 1,676.41 : x
  2. Step 2: Convert to fraction form
    5,572/8,358 = 1,676.41/x
  3. Step 3: Cross multiply
    5,572x = 8,358 × 1,676.41
  4. Step 4: Simplify right side
    5,572x = 14,011,434.78
  5. Step 5: Solve for x
    x = 14,011,434.78/5,572
  6. Step 6: Final answer
    x = 2,514.62

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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.