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Finding the Fourth Proportional to 4,662.35, 6,434.16 and 2,537.99

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Solution

The fourth proportional to 4,662.35, 6,434.16 and 2,537.99 is: 3,502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.35 : 6,434.16 = 2,537.99 : x
  2. Step 2: Convert to fraction form
    4,662.35/6,434.16 = 2,537.99/x
  3. Step 3: Cross multiply
    4,662.35x = 6,434.16 × 2,537.99
  4. Step 4: Simplify right side
    4,662.35x = 16,329,833.74
  5. Step 5: Solve for x
    x = 16,329,833.74/4,662.35
  6. Step 6: Final answer
    x = 3,502.49

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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.