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Finding the Fourth Proportional to 6,335.48, 8,740.83 and 4,100.18

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Solution

The fourth proportional to 6,335.48, 8,740.83 and 4,100.18 is: 5,656.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.48 : 8,740.83 = 4,100.18 : x
  2. Step 2: Convert to fraction form
    6,335.48/8,740.83 = 4,100.18/x
  3. Step 3: Cross multiply
    6,335.48x = 8,740.83 × 4,100.18
  4. Step 4: Simplify right side
    6,335.48x = 35,838,955.85
  5. Step 5: Solve for x
    x = 35,838,955.85/6,335.48
  6. Step 6: Final answer
    x = 5,656.87

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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.