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Finding the Fourth Proportional to 5,762.13, 8,643.18 and 3,813.89

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Solution

The fourth proportional to 5,762.13, 8,643.18 and 3,813.89 is: 5,720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.13 : 8,643.18 = 3,813.89 : x
  2. Step 2: Convert to fraction form
    5,762.13/8,643.18 = 3,813.89/x
  3. Step 3: Cross multiply
    5,762.13x = 8,643.18 × 3,813.89
  4. Step 4: Simplify right side
    5,762.13x = 32,964,094.55
  5. Step 5: Solve for x
    x = 32,964,094.55/5,762.13
  6. Step 6: Final answer
    x = 5,720.82

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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.