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Finding the Fourth Proportional to 4,714.29, 6,508.74 and 4,209.27

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Solution

The fourth proportional to 4,714.29, 6,508.74 and 4,209.27 is: 5,811.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.29 : 6,508.74 = 4,209.27 : x
  2. Step 2: Convert to fraction form
    4,714.29/6,508.74 = 4,209.27/x
  3. Step 3: Cross multiply
    4,714.29x = 6,508.74 × 4,209.27
  4. Step 4: Simplify right side
    4,714.29x = 27,397,070.81
  5. Step 5: Solve for x
    x = 27,397,070.81/4,714.29
  6. Step 6: Final answer
    x = 5,811.49

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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.