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Finding the Fourth Proportional to 3,756.64, 5,185.20 and 2,580.64

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Solution

The fourth proportional to 3,756.64, 5,185.20 and 2,580.64 is: 3,562.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.64 : 5,185.20 = 2,580.64 : x
  2. Step 2: Convert to fraction form
    3,756.64/5,185.20 = 2,580.64/x
  3. Step 3: Cross multiply
    3,756.64x = 5,185.20 × 2,580.64
  4. Step 4: Simplify right side
    3,756.64x = 13,381,134.53
  5. Step 5: Solve for x
    x = 13,381,134.53/3,756.64
  6. Step 6: Final answer
    x = 3,562.00

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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.