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Finding the Fourth Proportional to 3,756.42, 5,184.06 and 2,264.55

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Solution

The fourth proportional to 3,756.42, 5,184.06 and 2,264.55 is: 3,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.42 : 5,184.06 = 2,264.55 : x
  2. Step 2: Convert to fraction form
    3,756.42/5,184.06 = 2,264.55/x
  3. Step 3: Cross multiply
    3,756.42x = 5,184.06 × 2,264.55
  4. Step 4: Simplify right side
    3,756.42x = 11,739,563.07
  5. Step 5: Solve for x
    x = 11,739,563.07/3,756.42
  6. Step 6: Final answer
    x = 3,125.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.