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Finding the Fourth Proportional to 4,655.52, 6,420.56 and 3,916.96

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Solution

The fourth proportional to 4,655.52, 6,420.56 and 3,916.96 is: 5,401.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.52 : 6,420.56 = 3,916.96 : x
  2. Step 2: Convert to fraction form
    4,655.52/6,420.56 = 3,916.96/x
  3. Step 3: Cross multiply
    4,655.52x = 6,420.56 × 3,916.96
  4. Step 4: Simplify right side
    4,655.52x = 25,149,076.70
  5. Step 5: Solve for x
    x = 25,149,076.70/4,655.52
  6. Step 6: Final answer
    x = 5,401.99

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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.