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Finding the Fourth Proportional to 4,829.81, 7,232.83 and 2,356.65

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Solution

The fourth proportional to 4,829.81, 7,232.83 and 2,356.65 is: 3,529.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.81 : 7,232.83 = 2,356.65 : x
  2. Step 2: Convert to fraction form
    4,829.81/7,232.83 = 2,356.65/x
  3. Step 3: Cross multiply
    4,829.81x = 7,232.83 × 2,356.65
  4. Step 4: Simplify right side
    4,829.81x = 17,045,242.93
  5. Step 5: Solve for x
    x = 17,045,242.93/4,829.81
  6. Step 6: Final answer
    x = 3,529.18

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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.