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Finding the Fourth Proportional to 4,640.96, 6,925.36 and 4,226.96

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Solution

The fourth proportional to 4,640.96, 6,925.36 and 4,226.96 is: 6,307.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.96 : 6,925.36 = 4,226.96 : x
  2. Step 2: Convert to fraction form
    4,640.96/6,925.36 = 4,226.96/x
  3. Step 3: Cross multiply
    4,640.96x = 6,925.36 × 4,226.96
  4. Step 4: Simplify right side
    4,640.96x = 29,273,219.71
  5. Step 5: Solve for x
    x = 29,273,219.71/4,640.96
  6. Step 6: Final answer
    x = 6,307.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.