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Finding the Fourth Proportional to 4,573.81, 6,869.83 and 4,315.92

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Solution

The fourth proportional to 4,573.81, 6,869.83 and 4,315.92 is: 6,482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.81 : 6,869.83 = 4,315.92 : x
  2. Step 2: Convert to fraction form
    4,573.81/6,869.83 = 4,315.92/x
  3. Step 3: Cross multiply
    4,573.81x = 6,869.83 × 4,315.92
  4. Step 4: Simplify right side
    4,573.81x = 29,649,636.69
  5. Step 5: Solve for x
    x = 29,649,636.69/4,573.81
  6. Step 6: Final answer
    x = 6,482.48

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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.