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Finding the Fourth Proportional to 5,543.94, 7,648 and 3,752.05

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Solution

The fourth proportional to 5,543.94, 7,648 and 3,752.05 is: 5,176.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,543.94 : 7,648 = 3,752.05 : x
  2. Step 2: Convert to fraction form
    5,543.94/7,648 = 3,752.05/x
  3. Step 3: Cross multiply
    5,543.94x = 7,648 × 3,752.05
  4. Step 4: Simplify right side
    5,543.94x = 28,695,678.40
  5. Step 5: Solve for x
    x = 28,695,678.40/5,543.94
  6. Step 6: Final answer
    x = 5,176.04

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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.