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Finding the Fourth Proportional to 4,496.80, 6,744.24 and 2,303.20

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Solution

The fourth proportional to 4,496.80, 6,744.24 and 2,303.20 is: 3,454.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.80 : 6,744.24 = 2,303.20 : x
  2. Step 2: Convert to fraction form
    4,496.80/6,744.24 = 2,303.20/x
  3. Step 3: Cross multiply
    4,496.80x = 6,744.24 × 2,303.20
  4. Step 4: Simplify right side
    4,496.80x = 15,533,333.57
  5. Step 5: Solve for x
    x = 15,533,333.57/4,496.80
  6. Step 6: Final answer
    x = 3,454.31

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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.