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Finding the Fourth Proportional to 5,117.70, 7,674.28 and 2,346.10

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Solution

The fourth proportional to 5,117.70, 7,674.28 and 2,346.10 is: 3,518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.70 : 7,674.28 = 2,346.10 : x
  2. Step 2: Convert to fraction form
    5,117.70/7,674.28 = 2,346.10/x
  3. Step 3: Cross multiply
    5,117.70x = 7,674.28 × 2,346.10
  4. Step 4: Simplify right side
    5,117.70x = 18,004,628.31
  5. Step 5: Solve for x
    x = 18,004,628.31/5,117.70
  6. Step 6: Final answer
    x = 3,518.11

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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.