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Finding the Fourth Proportional to 5,116.40, 7,674.60 and 3,037.40

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Solution

The fourth proportional to 5,116.40, 7,674.60 and 3,037.40 is: 4,556.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.40 : 7,674.60 = 3,037.40 : x
  2. Step 2: Convert to fraction form
    5,116.40/7,674.60 = 3,037.40/x
  3. Step 3: Cross multiply
    5,116.40x = 7,674.60 × 3,037.40
  4. Step 4: Simplify right side
    5,116.40x = 23,310,830.04
  5. Step 5: Solve for x
    x = 23,310,830.04/5,116.40
  6. Step 6: Final answer
    x = 4,556.10

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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.