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Finding the Fourth Proportional to 3,642.21, 5,463.24 and 1,560.45

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Solution

The fourth proportional to 3,642.21, 5,463.24 and 1,560.45 is: 2,340.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.21 : 5,463.24 = 1,560.45 : x
  2. Step 2: Convert to fraction form
    3,642.21/5,463.24 = 1,560.45/x
  3. Step 3: Cross multiply
    3,642.21x = 5,463.24 × 1,560.45
  4. Step 4: Simplify right side
    3,642.21x = 8,525,112.86
  5. Step 5: Solve for x
    x = 8,525,112.86/3,642.21
  6. Step 6: Final answer
    x = 2,340.64

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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.