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Finding the Fourth Proportional to 4,774.53, 7,161.77 and 2,597.11

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Solution

The fourth proportional to 4,774.53, 7,161.77 and 2,597.11 is: 3,895.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.53 : 7,161.77 = 2,597.11 : x
  2. Step 2: Convert to fraction form
    4,774.53/7,161.77 = 2,597.11/x
  3. Step 3: Cross multiply
    4,774.53x = 7,161.77 × 2,597.11
  4. Step 4: Simplify right side
    4,774.53x = 18,599,893.07
  5. Step 5: Solve for x
    x = 18,599,893.07/4,774.53
  6. Step 6: Final answer
    x = 3,895.65

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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.