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Finding the Fourth Proportional to 4,653.64, 6,424.68 and 3,083.86

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Solution

The fourth proportional to 4,653.64, 6,424.68 and 3,083.86 is: 4,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.64 : 6,424.68 = 3,083.86 : x
  2. Step 2: Convert to fraction form
    4,653.64/6,424.68 = 3,083.86/x
  3. Step 3: Cross multiply
    4,653.64x = 6,424.68 × 3,083.86
  4. Step 4: Simplify right side
    4,653.64x = 19,812,813.66
  5. Step 5: Solve for x
    x = 19,812,813.66/4,653.64
  6. Step 6: Final answer
    x = 4,257.49

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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.