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Finding the Fourth Proportional to 3,403.68, 4,706.28 and 3,246

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Solution

The fourth proportional to 3,403.68, 4,706.28 and 3,246 is: 4,488.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.68 : 4,706.28 = 3,246 : x
  2. Step 2: Convert to fraction form
    3,403.68/4,706.28 = 3,246/x
  3. Step 3: Cross multiply
    3,403.68x = 4,706.28 × 3,246
  4. Step 4: Simplify right side
    3,403.68x = 15,276,584.88
  5. Step 5: Solve for x
    x = 15,276,584.88/3,403.68
  6. Step 6: Final answer
    x = 4,488.26

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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.