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Finding the Fourth Proportional to 4,785.89, 7,178.83 and 2,187

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Solution

The fourth proportional to 4,785.89, 7,178.83 and 2,187 is: 3,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.89 : 7,178.83 = 2,187 : x
  2. Step 2: Convert to fraction form
    4,785.89/7,178.83 = 2,187/x
  3. Step 3: Cross multiply
    4,785.89x = 7,178.83 × 2,187
  4. Step 4: Simplify right side
    4,785.89x = 15,700,095.74
  5. Step 5: Solve for x
    x = 15,700,095.74/4,785.89
  6. Step 6: Final answer
    x = 3,280.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.