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Finding the Fourth Proportional to 3,891.66, 5,798.16 and 3,705.90

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Solution

The fourth proportional to 3,891.66, 5,798.16 and 3,705.90 is: 5,521.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.66 : 5,798.16 = 3,705.90 : x
  2. Step 2: Convert to fraction form
    3,891.66/5,798.16 = 3,705.90/x
  3. Step 3: Cross multiply
    3,891.66x = 5,798.16 × 3,705.90
  4. Step 4: Simplify right side
    3,891.66x = 21,487,401.14
  5. Step 5: Solve for x
    x = 21,487,401.14/3,891.66
  6. Step 6: Final answer
    x = 5,521.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.