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Finding the Fourth Proportional to 5,672, 8,511.24 and 2,594

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Solution

The fourth proportional to 5,672, 8,511.24 and 2,594 is: 3,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672 : 8,511.24 = 2,594 : x
  2. Step 2: Convert to fraction form
    5,672/8,511.24 = 2,594/x
  3. Step 3: Cross multiply
    5,672x = 8,511.24 × 2,594
  4. Step 4: Simplify right side
    5,672x = 22,078,156.56
  5. Step 5: Solve for x
    x = 22,078,156.56/5,672
  6. Step 6: Final answer
    x = 3,892.48

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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.