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Finding the Fourth Proportional to 4,609, 6,900.90 and 3,223.72

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Solution

The fourth proportional to 4,609, 6,900.90 and 3,223.72 is: 4,826.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609 : 6,900.90 = 3,223.72 : x
  2. Step 2: Convert to fraction form
    4,609/6,900.90 = 3,223.72/x
  3. Step 3: Cross multiply
    4,609x = 6,900.90 × 3,223.72
  4. Step 4: Simplify right side
    4,609x = 22,246,569.35
  5. Step 5: Solve for x
    x = 22,246,569.35/4,609
  6. Step 6: Final answer
    x = 4,826.77

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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.