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Finding the Fourth Proportional to 6,208.64, 8,567.52 and 3,414

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Solution

The fourth proportional to 6,208.64, 8,567.52 and 3,414 is: 4,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.64 : 8,567.52 = 3,414 : x
  2. Step 2: Convert to fraction form
    6,208.64/8,567.52 = 3,414/x
  3. Step 3: Cross multiply
    6,208.64x = 8,567.52 × 3,414
  4. Step 4: Simplify right side
    6,208.64x = 29,249,513.28
  5. Step 5: Solve for x
    x = 29,249,513.28/6,208.64
  6. Step 6: Final answer
    x = 4,711.10

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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.