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Finding the Fourth Proportional to 4,457.56, 6,674.46 and 3,535

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Solution

The fourth proportional to 4,457.56, 6,674.46 and 3,535 is: 5,293.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.56 : 6,674.46 = 3,535 : x
  2. Step 2: Convert to fraction form
    4,457.56/6,674.46 = 3,535/x
  3. Step 3: Cross multiply
    4,457.56x = 6,674.46 × 3,535
  4. Step 4: Simplify right side
    4,457.56x = 23,594,216.10
  5. Step 5: Solve for x
    x = 23,594,216.10/4,457.56
  6. Step 6: Final answer
    x = 5,293.08

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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.