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Finding the Fourth Proportional to 4,145.76, 6,216.78 and 1,223.04

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Solution

The fourth proportional to 4,145.76, 6,216.78 and 1,223.04 is: 1,834.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.76 : 6,216.78 = 1,223.04 : x
  2. Step 2: Convert to fraction form
    4,145.76/6,216.78 = 1,223.04/x
  3. Step 3: Cross multiply
    4,145.76x = 6,216.78 × 1,223.04
  4. Step 4: Simplify right side
    4,145.76x = 7,603,370.61
  5. Step 5: Solve for x
    x = 7,603,370.61/4,145.76
  6. Step 6: Final answer
    x = 1,834.01

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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.