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Finding the Fourth Proportional to 4,648.00, 6,414.25 and 2,523.53

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Solution

The fourth proportional to 4,648.00, 6,414.25 and 2,523.53 is: 3,482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.00 : 6,414.25 = 2,523.53 : x
  2. Step 2: Convert to fraction form
    4,648.00/6,414.25 = 2,523.53/x
  3. Step 3: Cross multiply
    4,648.00x = 6,414.25 × 2,523.53
  4. Step 4: Simplify right side
    4,648.00x = 16,186,562.03
  5. Step 5: Solve for x
    x = 16,186,562.03/4,648.00
  6. Step 6: Final answer
    x = 3,482.48

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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.