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Finding the Fourth Proportional to 5,120.66, 7,676.18 and 4,664.16

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Solution

The fourth proportional to 5,120.66, 7,676.18 and 4,664.16 is: 6,991.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.66 : 7,676.18 = 4,664.16 : x
  2. Step 2: Convert to fraction form
    5,120.66/7,676.18 = 4,664.16/x
  3. Step 3: Cross multiply
    5,120.66x = 7,676.18 × 4,664.16
  4. Step 4: Simplify right side
    5,120.66x = 35,802,931.71
  5. Step 5: Solve for x
    x = 35,802,931.71/5,120.66
  6. Step 6: Final answer
    x = 6,991.86

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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.