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Finding the Fourth Proportional to 4,714.10, 6,502.68 and 2,942.63

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Solution

The fourth proportional to 4,714.10, 6,502.68 and 2,942.63 is: 4,059.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.10 : 6,502.68 = 2,942.63 : x
  2. Step 2: Convert to fraction form
    4,714.10/6,502.68 = 2,942.63/x
  3. Step 3: Cross multiply
    4,714.10x = 6,502.68 × 2,942.63
  4. Step 4: Simplify right side
    4,714.10x = 19,134,973.12
  5. Step 5: Solve for x
    x = 19,134,973.12/4,714.10
  6. Step 6: Final answer
    x = 4,059.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.