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Finding the Fourth Proportional to 4,566.66, 6,302.21 and 2,798.36

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Solution

The fourth proportional to 4,566.66, 6,302.21 and 2,798.36 is: 3,861.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.66 : 6,302.21 = 2,798.36 : x
  2. Step 2: Convert to fraction form
    4,566.66/6,302.21 = 2,798.36/x
  3. Step 3: Cross multiply
    4,566.66x = 6,302.21 × 2,798.36
  4. Step 4: Simplify right side
    4,566.66x = 17,635,852.38
  5. Step 5: Solve for x
    x = 17,635,852.38/4,566.66
  6. Step 6: Final answer
    x = 3,861.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.