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Finding the Fourth Proportional to 3,756.94, 5,632.23 and 2,297.11

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Solution

The fourth proportional to 3,756.94, 5,632.23 and 2,297.11 is: 3,443.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.94 : 5,632.23 = 2,297.11 : x
  2. Step 2: Convert to fraction form
    3,756.94/5,632.23 = 2,297.11/x
  3. Step 3: Cross multiply
    3,756.94x = 5,632.23 × 2,297.11
  4. Step 4: Simplify right side
    3,756.94x = 12,937,851.86
  5. Step 5: Solve for x
    x = 12,937,851.86/3,756.94
  6. Step 6: Final answer
    x = 3,443.72

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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.