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Finding the Fourth Proportional to 4,580.69, 6,872.81 and 1,948.77

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Solution

The fourth proportional to 4,580.69, 6,872.81 and 1,948.77 is: 2,923.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580.69 : 6,872.81 = 1,948.77 : x
  2. Step 2: Convert to fraction form
    4,580.69/6,872.81 = 1,948.77/x
  3. Step 3: Cross multiply
    4,580.69x = 6,872.81 × 1,948.77
  4. Step 4: Simplify right side
    4,580.69x = 13,393,516.20
  5. Step 5: Solve for x
    x = 13,393,516.20/4,580.69
  6. Step 6: Final answer
    x = 2,923.91

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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.