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Finding the Fourth Proportional to 4,703.66, 6,491.25 and 2,714.21

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Solution

The fourth proportional to 4,703.66, 6,491.25 and 2,714.21 is: 3,745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.66 : 6,491.25 = 2,714.21 : x
  2. Step 2: Convert to fraction form
    4,703.66/6,491.25 = 2,714.21/x
  3. Step 3: Cross multiply
    4,703.66x = 6,491.25 × 2,714.21
  4. Step 4: Simplify right side
    4,703.66x = 17,618,569.64
  5. Step 5: Solve for x
    x = 17,618,569.64/4,703.66
  6. Step 6: Final answer
    x = 3,745.72

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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.