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Finding the Fourth Proportional to 5,164.94, 7,746.23 and 2,529.81

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Solution

The fourth proportional to 5,164.94, 7,746.23 and 2,529.81 is: 3,794.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.94 : 7,746.23 = 2,529.81 : x
  2. Step 2: Convert to fraction form
    5,164.94/7,746.23 = 2,529.81/x
  3. Step 3: Cross multiply
    5,164.94x = 7,746.23 × 2,529.81
  4. Step 4: Simplify right side
    5,164.94x = 19,596,474.65
  5. Step 5: Solve for x
    x = 19,596,474.65/5,164.94
  6. Step 6: Final answer
    x = 3,794.13

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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.