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Finding the Fourth Proportional to 4,657.84, 6,427.56 and 2,562

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Solution

The fourth proportional to 4,657.84, 6,427.56 and 2,562 is: 3,535.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.84 : 6,427.56 = 2,562 : x
  2. Step 2: Convert to fraction form
    4,657.84/6,427.56 = 2,562/x
  3. Step 3: Cross multiply
    4,657.84x = 6,427.56 × 2,562
  4. Step 4: Simplify right side
    4,657.84x = 16,467,408.72
  5. Step 5: Solve for x
    x = 16,467,408.72/4,657.84
  6. Step 6: Final answer
    x = 3,535.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.