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Finding the Fourth Proportional to 5,166.28, 7,748.66 and 1,703.56

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Solution

The fourth proportional to 5,166.28, 7,748.66 and 1,703.56 is: 2,555.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.28 : 7,748.66 = 1,703.56 : x
  2. Step 2: Convert to fraction form
    5,166.28/7,748.66 = 1,703.56/x
  3. Step 3: Cross multiply
    5,166.28x = 7,748.66 × 1,703.56
  4. Step 4: Simplify right side
    5,166.28x = 13,200,307.23
  5. Step 5: Solve for x
    x = 13,200,307.23/5,166.28
  6. Step 6: Final answer
    x = 2,555.09

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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.