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Finding the Fourth Proportional to 5,648.96, 7,790.63 and 3,657.57

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Solution

The fourth proportional to 5,648.96, 7,790.63 and 3,657.57 is: 5,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.96 : 7,790.63 = 3,657.57 : x
  2. Step 2: Convert to fraction form
    5,648.96/7,790.63 = 3,657.57/x
  3. Step 3: Cross multiply
    5,648.96x = 7,790.63 × 3,657.57
  4. Step 4: Simplify right side
    5,648.96x = 28,494,756.28
  5. Step 5: Solve for x
    x = 28,494,756.28/5,648.96
  6. Step 6: Final answer
    x = 5,044.25

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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.