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Finding the Fourth Proportional to 6,338.07, 8,746.46 and 3,543.57

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Solution

The fourth proportional to 6,338.07, 8,746.46 and 3,543.57 is: 4,890.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.07 : 8,746.46 = 3,543.57 : x
  2. Step 2: Convert to fraction form
    6,338.07/8,746.46 = 3,543.57/x
  3. Step 3: Cross multiply
    6,338.07x = 8,746.46 × 3,543.57
  4. Step 4: Simplify right side
    6,338.07x = 30,993,693.26
  5. Step 5: Solve for x
    x = 30,993,693.26/6,338.07
  6. Step 6: Final answer
    x = 4,890.08

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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.