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Finding the Fourth Proportional to 5,103.56, 7,652.61 and 1,770.95

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Solution

The fourth proportional to 5,103.56, 7,652.61 and 1,770.95 is: 2,655.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.56 : 7,652.61 = 1,770.95 : x
  2. Step 2: Convert to fraction form
    5,103.56/7,652.61 = 1,770.95/x
  3. Step 3: Cross multiply
    5,103.56x = 7,652.61 × 1,770.95
  4. Step 4: Simplify right side
    5,103.56x = 13,552,408.81
  5. Step 5: Solve for x
    x = 13,552,408.81/5,103.56
  6. Step 6: Final answer
    x = 2,655.48

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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.