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Finding the Fourth Proportional to 5,386.93, 8,084.10 and 2,100.04

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Solution

The fourth proportional to 5,386.93, 8,084.10 and 2,100.04 is: 3,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.93 : 8,084.10 = 2,100.04 : x
  2. Step 2: Convert to fraction form
    5,386.93/8,084.10 = 2,100.04/x
  3. Step 3: Cross multiply
    5,386.93x = 8,084.10 × 2,100.04
  4. Step 4: Simplify right side
    5,386.93x = 16,976,933.36
  5. Step 5: Solve for x
    x = 16,976,933.36/5,386.93
  6. Step 6: Final answer
    x = 3,151.50

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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.