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Finding the Fourth Proportional to 4,815.86, 7,223.99 and 1,529.01

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Solution

The fourth proportional to 4,815.86, 7,223.99 and 1,529.01 is: 2,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,815.86 : 7,223.99 = 1,529.01 : x
  2. Step 2: Convert to fraction form
    4,815.86/7,223.99 = 1,529.01/x
  3. Step 3: Cross multiply
    4,815.86x = 7,223.99 × 1,529.01
  4. Step 4: Simplify right side
    4,815.86x = 11,045,545.30
  5. Step 5: Solve for x
    x = 11,045,545.30/4,815.86
  6. Step 6: Final answer
    x = 2,293.58

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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.