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Finding the Fourth Proportional to 4,993.17, 7,490.64 and 2,071.71

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Solution

The fourth proportional to 4,993.17, 7,490.64 and 2,071.71 is: 3,107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.17 : 7,490.64 = 2,071.71 : x
  2. Step 2: Convert to fraction form
    4,993.17/7,490.64 = 2,071.71/x
  3. Step 3: Cross multiply
    4,993.17x = 7,490.64 × 2,071.71
  4. Step 4: Simplify right side
    4,993.17x = 15,518,433.79
  5. Step 5: Solve for x
    x = 15,518,433.79/4,993.17
  6. Step 6: Final answer
    x = 3,107.93

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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.