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Finding the Fourth Proportional to 5,640, 7,783.56 and 3,156

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Solution

The fourth proportional to 5,640, 7,783.56 and 3,156 is: 4,355.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640 : 7,783.56 = 3,156 : x
  2. Step 2: Convert to fraction form
    5,640/7,783.56 = 3,156/x
  3. Step 3: Cross multiply
    5,640x = 7,783.56 × 3,156
  4. Step 4: Simplify right side
    5,640x = 24,564,915.36
  5. Step 5: Solve for x
    x = 24,564,915.36/5,640
  6. Step 6: Final answer
    x = 4,355.48

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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.