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Finding the Fourth Proportional to 5,643, 7,787.34 and 3,285

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Solution

The fourth proportional to 5,643, 7,787.34 and 3,285 is: 4,533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643 : 7,787.34 = 3,285 : x
  2. Step 2: Convert to fraction form
    5,643/7,787.34 = 3,285/x
  3. Step 3: Cross multiply
    5,643x = 7,787.34 × 3,285
  4. Step 4: Simplify right side
    5,643x = 25,581,411.90
  5. Step 5: Solve for x
    x = 25,581,411.90/5,643
  6. Step 6: Final answer
    x = 4,533.30

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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.