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Finding the Fourth Proportional to 5,123.57, 7,678.69 and 2,310.34

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Solution

The fourth proportional to 5,123.57, 7,678.69 and 2,310.34 is: 3,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.57 : 7,678.69 = 2,310.34 : x
  2. Step 2: Convert to fraction form
    5,123.57/7,678.69 = 2,310.34/x
  3. Step 3: Cross multiply
    5,123.57x = 7,678.69 × 2,310.34
  4. Step 4: Simplify right side
    5,123.57x = 17,740,384.65
  5. Step 5: Solve for x
    x = 17,740,384.65/5,123.57
  6. Step 6: Final answer
    x = 3,462.50

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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.