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Finding the Fourth Proportional to 3,474.61, 5,212.45 and 1,165.57

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Solution

The fourth proportional to 3,474.61, 5,212.45 and 1,165.57 is: 1,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.61 : 5,212.45 = 1,165.57 : x
  2. Step 2: Convert to fraction form
    3,474.61/5,212.45 = 1,165.57/x
  3. Step 3: Cross multiply
    3,474.61x = 5,212.45 × 1,165.57
  4. Step 4: Simplify right side
    3,474.61x = 6,075,475.35
  5. Step 5: Solve for x
    x = 6,075,475.35/3,474.61
  6. Step 6: Final answer
    x = 1,748.53

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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.