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Finding the Fourth Proportional to 4,304.87, 6,457.31 and 3,533.75

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Solution

The fourth proportional to 4,304.87, 6,457.31 and 3,533.75 is: 5,300.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.87 : 6,457.31 = 3,533.75 : x
  2. Step 2: Convert to fraction form
    4,304.87/6,457.31 = 3,533.75/x
  3. Step 3: Cross multiply
    4,304.87x = 6,457.31 × 3,533.75
  4. Step 4: Simplify right side
    4,304.87x = 22,818,519.21
  5. Step 5: Solve for x
    x = 22,818,519.21/4,304.87
  6. Step 6: Final answer
    x = 5,300.63

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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.