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Finding the Fourth Proportional to 3,867.49, 5,804.16 and 2,830.17

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Solution

The fourth proportional to 3,867.49, 5,804.16 and 2,830.17 is: 4,247.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.49 : 5,804.16 = 2,830.17 : x
  2. Step 2: Convert to fraction form
    3,867.49/5,804.16 = 2,830.17/x
  3. Step 3: Cross multiply
    3,867.49x = 5,804.16 × 2,830.17
  4. Step 4: Simplify right side
    3,867.49x = 16,426,759.51
  5. Step 5: Solve for x
    x = 16,426,759.51/3,867.49
  6. Step 6: Final answer
    x = 4,247.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.