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Finding the Fourth Proportional to 3,803.59, 5,260.62 and 3,410.47

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Solution

The fourth proportional to 3,803.59, 5,260.62 and 3,410.47 is: 4,716.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.59 : 5,260.62 = 3,410.47 : x
  2. Step 2: Convert to fraction form
    3,803.59/5,260.62 = 3,410.47/x
  3. Step 3: Cross multiply
    3,803.59x = 5,260.62 × 3,410.47
  4. Step 4: Simplify right side
    3,803.59x = 17,941,186.69
  5. Step 5: Solve for x
    x = 17,941,186.69/3,803.59
  6. Step 6: Final answer
    x = 4,716.91

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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.