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Finding the Fourth Proportional to 3,417.39, 5,124.06 and 1,336.50

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Solution

The fourth proportional to 3,417.39, 5,124.06 and 1,336.50 is: 2,003.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.39 : 5,124.06 = 1,336.50 : x
  2. Step 2: Convert to fraction form
    3,417.39/5,124.06 = 1,336.50/x
  3. Step 3: Cross multiply
    3,417.39x = 5,124.06 × 1,336.50
  4. Step 4: Simplify right side
    3,417.39x = 6,848,306.19
  5. Step 5: Solve for x
    x = 6,848,306.19/3,417.39
  6. Step 6: Final answer
    x = 2,003.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.