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Finding the Fourth Proportional to 3,637.37, 5,457 and 1,040.51

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Solution

The fourth proportional to 3,637.37, 5,457 and 1,040.51 is: 1,561.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.37 : 5,457 = 1,040.51 : x
  2. Step 2: Convert to fraction form
    3,637.37/5,457 = 1,040.51/x
  3. Step 3: Cross multiply
    3,637.37x = 5,457 × 1,040.51
  4. Step 4: Simplify right side
    3,637.37x = 5,678,063.07
  5. Step 5: Solve for x
    x = 5,678,063.07/3,637.37
  6. Step 6: Final answer
    x = 1,561.04

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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.