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Finding the Fourth Proportional to 5,820.56, 8,030 and 3,581.76

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Solution

The fourth proportional to 5,820.56, 8,030 and 3,581.76 is: 4,941.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.56 : 8,030 = 3,581.76 : x
  2. Step 2: Convert to fraction form
    5,820.56/8,030 = 3,581.76/x
  3. Step 3: Cross multiply
    5,820.56x = 8,030 × 3,581.76
  4. Step 4: Simplify right side
    5,820.56x = 28,761,532.80
  5. Step 5: Solve for x
    x = 28,761,532.80/5,820.56
  6. Step 6: Final answer
    x = 4,941.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.