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Finding the Fourth Proportional to 3,648.96, 5,474.25 and 1,051.90

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Solution

The fourth proportional to 3,648.96, 5,474.25 and 1,051.90 is: 1,578.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.96 : 5,474.25 = 1,051.90 : x
  2. Step 2: Convert to fraction form
    3,648.96/5,474.25 = 1,051.90/x
  3. Step 3: Cross multiply
    3,648.96x = 5,474.25 × 1,051.90
  4. Step 4: Simplify right side
    3,648.96x = 5,758,349.89
  5. Step 5: Solve for x
    x = 5,758,349.89/3,648.96
  6. Step 6: Final answer
    x = 1,578.08

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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.