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Finding the Fourth Proportional to 5,666.64, 7,819.96 and 3,148.68

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Solution

The fourth proportional to 5,666.64, 7,819.96 and 3,148.68 is: 4,345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.64 : 7,819.96 = 3,148.68 : x
  2. Step 2: Convert to fraction form
    5,666.64/7,819.96 = 3,148.68/x
  3. Step 3: Cross multiply
    5,666.64x = 7,819.96 × 3,148.68
  4. Step 4: Simplify right side
    5,666.64x = 24,622,551.65
  5. Step 5: Solve for x
    x = 24,622,551.65/5,666.64
  6. Step 6: Final answer
    x = 4,345.18

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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.