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Finding the Fourth Proportional to 5,762.90, 8,645.13 and 2,066.15

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Solution

The fourth proportional to 5,762.90, 8,645.13 and 2,066.15 is: 3,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.90 : 8,645.13 = 2,066.15 : x
  2. Step 2: Convert to fraction form
    5,762.90/8,645.13 = 2,066.15/x
  3. Step 3: Cross multiply
    5,762.90x = 8,645.13 × 2,066.15
  4. Step 4: Simplify right side
    5,762.90x = 17,862,092.12
  5. Step 5: Solve for x
    x = 17,862,092.12/5,762.90
  6. Step 6: Final answer
    x = 3,099.50

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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.