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Finding the Fourth Proportional to 5,411, 8,116.50 and 1,307

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Solution

The fourth proportional to 5,411, 8,116.50 and 1,307 is: 1,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411 : 8,116.50 = 1,307 : x
  2. Step 2: Convert to fraction form
    5,411/8,116.50 = 1,307/x
  3. Step 3: Cross multiply
    5,411x = 8,116.50 × 1,307
  4. Step 4: Simplify right side
    5,411x = 10,608,265.50
  5. Step 5: Solve for x
    x = 10,608,265.50/5,411
  6. Step 6: Final answer
    x = 1,960.50

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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.