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Finding the Fourth Proportional to 5,653.89, 8,480.82 and 3,705.63

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Solution

The fourth proportional to 5,653.89, 8,480.82 and 3,705.63 is: 5,558.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.89 : 8,480.82 = 3,705.63 : x
  2. Step 2: Convert to fraction form
    5,653.89/8,480.82 = 3,705.63/x
  3. Step 3: Cross multiply
    5,653.89x = 8,480.82 × 3,705.63
  4. Step 4: Simplify right side
    5,653.89x = 31,426,781.02
  5. Step 5: Solve for x
    x = 31,426,781.02/5,653.89
  6. Step 6: Final answer
    x = 5,558.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.