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Finding the Fourth Proportional to 6,335.35, 8,740.65 and 4,100.06

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Solution

The fourth proportional to 6,335.35, 8,740.65 and 4,100.06 is: 5,656.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.35 : 8,740.65 = 4,100.06 : x
  2. Step 2: Convert to fraction form
    6,335.35/8,740.65 = 4,100.06/x
  3. Step 3: Cross multiply
    6,335.35x = 8,740.65 × 4,100.06
  4. Step 4: Simplify right side
    6,335.35x = 35,837,189.44
  5. Step 5: Solve for x
    x = 35,837,189.44/6,335.35
  6. Step 6: Final answer
    x = 5,656.70

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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.