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Finding the Fourth Proportional to 3,904.66, 5,411.02 and 3,830.82

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Solution

The fourth proportional to 3,904.66, 5,411.02 and 3,830.82 is: 5,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.66 : 5,411.02 = 3,830.82 : x
  2. Step 2: Convert to fraction form
    3,904.66/5,411.02 = 3,830.82/x
  3. Step 3: Cross multiply
    3,904.66x = 5,411.02 × 3,830.82
  4. Step 4: Simplify right side
    3,904.66x = 20,728,643.64
  5. Step 5: Solve for x
    x = 20,728,643.64/3,904.66
  6. Step 6: Final answer
    x = 5,308.69

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.