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Finding the Fourth Proportional to 3,685.53, 5,077.37 and 2,564.54

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Solution

The fourth proportional to 3,685.53, 5,077.37 and 2,564.54 is: 3,533.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.53 : 5,077.37 = 2,564.54 : x
  2. Step 2: Convert to fraction form
    3,685.53/5,077.37 = 2,564.54/x
  3. Step 3: Cross multiply
    3,685.53x = 5,077.37 × 2,564.54
  4. Step 4: Simplify right side
    3,685.53x = 13,021,112.18
  5. Step 5: Solve for x
    x = 13,021,112.18/3,685.53
  6. Step 6: Final answer
    x = 3,533.04

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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.