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Finding the Fourth Proportional to 4,684.80, 6,464 and 3,503.28

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Solution

The fourth proportional to 4,684.80, 6,464 and 3,503.28 is: 4,833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.80 : 6,464 = 3,503.28 : x
  2. Step 2: Convert to fraction form
    4,684.80/6,464 = 3,503.28/x
  3. Step 3: Cross multiply
    4,684.80x = 6,464 × 3,503.28
  4. Step 4: Simplify right side
    4,684.80x = 22,645,201.92
  5. Step 5: Solve for x
    x = 22,645,201.92/4,684.80
  6. Step 6: Final answer
    x = 4,833.76

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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.