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Finding the Fourth Proportional to 5,730.33, 8,580.90 and 3,776.61

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Solution

The fourth proportional to 5,730.33, 8,580.90 and 3,776.61 is: 5,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.33 : 8,580.90 = 3,776.61 : x
  2. Step 2: Convert to fraction form
    5,730.33/8,580.90 = 3,776.61/x
  3. Step 3: Cross multiply
    5,730.33x = 8,580.90 × 3,776.61
  4. Step 4: Simplify right side
    5,730.33x = 32,406,669.84
  5. Step 5: Solve for x
    x = 32,406,669.84/5,730.33
  6. Step 6: Final answer
    x = 5,655.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.