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Finding the Fourth Proportional to 4,714.76, 7,066.32 and 2,112.32

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Solution

The fourth proportional to 4,714.76, 7,066.32 and 2,112.32 is: 3,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.76 : 7,066.32 = 2,112.32 : x
  2. Step 2: Convert to fraction form
    4,714.76/7,066.32 = 2,112.32/x
  3. Step 3: Cross multiply
    4,714.76x = 7,066.32 × 2,112.32
  4. Step 4: Simplify right side
    4,714.76x = 14,926,329.06
  5. Step 5: Solve for x
    x = 14,926,329.06/4,714.76
  6. Step 6: Final answer
    x = 3,165.87

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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.