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Finding the Fourth Proportional to 3,657.62, 5,041.82 and 3,460.79

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Solution

The fourth proportional to 3,657.62, 5,041.82 and 3,460.79 is: 4,770.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.62 : 5,041.82 = 3,460.79 : x
  2. Step 2: Convert to fraction form
    3,657.62/5,041.82 = 3,460.79/x
  3. Step 3: Cross multiply
    3,657.62x = 5,041.82 × 3,460.79
  4. Step 4: Simplify right side
    3,657.62x = 17,448,637.72
  5. Step 5: Solve for x
    x = 17,448,637.72/3,657.62
  6. Step 6: Final answer
    x = 4,770.50

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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.