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Finding the Fourth Proportional to 6,284.52, 8,672.40 and 3,490.20

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Solution

The fourth proportional to 6,284.52, 8,672.40 and 3,490.20 is: 4,816.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.52 : 8,672.40 = 3,490.20 : x
  2. Step 2: Convert to fraction form
    6,284.52/8,672.40 = 3,490.20/x
  3. Step 3: Cross multiply
    6,284.52x = 8,672.40 × 3,490.20
  4. Step 4: Simplify right side
    6,284.52x = 30,268,410.48
  5. Step 5: Solve for x
    x = 30,268,410.48/6,284.52
  6. Step 6: Final answer
    x = 4,816.34

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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.