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Finding the Fourth Proportional to 3,535.47, 5,305.02 and 1,457.01

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Solution

The fourth proportional to 3,535.47, 5,305.02 and 1,457.01 is: 2,186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.47 : 5,305.02 = 1,457.01 : x
  2. Step 2: Convert to fraction form
    3,535.47/5,305.02 = 1,457.01/x
  3. Step 3: Cross multiply
    3,535.47x = 5,305.02 × 1,457.01
  4. Step 4: Simplify right side
    3,535.47x = 7,729,440.67
  5. Step 5: Solve for x
    x = 7,729,440.67/3,535.47
  6. Step 6: Final answer
    x = 2,186.26

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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.