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Finding the Fourth Proportional to 3,368.54, 5,050.64 and 1,613.50

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Solution

The fourth proportional to 3,368.54, 5,050.64 and 1,613.50 is: 2,419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368.54 : 5,050.64 = 1,613.50 : x
  2. Step 2: Convert to fraction form
    3,368.54/5,050.64 = 1,613.50/x
  3. Step 3: Cross multiply
    3,368.54x = 5,050.64 × 1,613.50
  4. Step 4: Simplify right side
    3,368.54x = 8,149,205.89
  5. Step 5: Solve for x
    x = 8,149,205.89/3,368.54
  6. Step 6: Final answer
    x = 2,419.21

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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.