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Finding the Fourth Proportional to 4,681.56, 7,023.66 and 1,910.22

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Solution

The fourth proportional to 4,681.56, 7,023.66 and 1,910.22 is: 2,865.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.56 : 7,023.66 = 1,910.22 : x
  2. Step 2: Convert to fraction form
    4,681.56/7,023.66 = 1,910.22/x
  3. Step 3: Cross multiply
    4,681.56x = 7,023.66 × 1,910.22
  4. Step 4: Simplify right side
    4,681.56x = 13,416,735.81
  5. Step 5: Solve for x
    x = 13,416,735.81/4,681.56
  6. Step 6: Final answer
    x = 2,865.87

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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.