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Finding the Fourth Proportional to 3,914.16, 5,870.70 and 992.30

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Solution

The fourth proportional to 3,914.16, 5,870.70 and 992.30 is: 1,488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.16 : 5,870.70 = 992.30 : x
  2. Step 2: Convert to fraction form
    3,914.16/5,870.70 = 992.30/x
  3. Step 3: Cross multiply
    3,914.16x = 5,870.70 × 992.30
  4. Step 4: Simplify right side
    3,914.16x = 5,825,495.61
  5. Step 5: Solve for x
    x = 5,825,495.61/3,914.16
  6. Step 6: Final answer
    x = 1,488.31

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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.