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Finding the Fourth Proportional to 4,475.06, 6,714.22 and 2,164.94

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Solution

The fourth proportional to 4,475.06, 6,714.22 and 2,164.94 is: 3,248.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475.06 : 6,714.22 = 2,164.94 : x
  2. Step 2: Convert to fraction form
    4,475.06/6,714.22 = 2,164.94/x
  3. Step 3: Cross multiply
    4,475.06x = 6,714.22 × 2,164.94
  4. Step 4: Simplify right side
    4,475.06x = 14,535,883.45
  5. Step 5: Solve for x
    x = 14,535,883.45/4,475.06
  6. Step 6: Final answer
    x = 3,248.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.