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Finding the Fourth Proportional to 5,817.90, 8,708.12 and 4,065.06

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Solution

The fourth proportional to 5,817.90, 8,708.12 and 4,065.06 is: 6,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.90 : 8,708.12 = 4,065.06 : x
  2. Step 2: Convert to fraction form
    5,817.90/8,708.12 = 4,065.06/x
  3. Step 3: Cross multiply
    5,817.90x = 8,708.12 × 4,065.06
  4. Step 4: Simplify right side
    5,817.90x = 35,399,030.29
  5. Step 5: Solve for x
    x = 35,399,030.29/5,817.90
  6. Step 6: Final answer
    x = 6,084.50

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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.