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Finding the Fourth Proportional to 3,207.86, 4,785.64 and 3,126.46

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Solution

The fourth proportional to 3,207.86, 4,785.64 and 3,126.46 is: 4,664.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.86 : 4,785.64 = 3,126.46 : x
  2. Step 2: Convert to fraction form
    3,207.86/4,785.64 = 3,126.46/x
  3. Step 3: Cross multiply
    3,207.86x = 4,785.64 × 3,126.46
  4. Step 4: Simplify right side
    3,207.86x = 14,962,112.03
  5. Step 5: Solve for x
    x = 14,962,112.03/3,207.86
  6. Step 6: Final answer
    x = 4,664.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.