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Finding the Fourth Proportional to 3,617.51, 5,426.46 and 1,020.38

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Solution

The fourth proportional to 3,617.51, 5,426.46 and 1,020.38 is: 1,530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.51 : 5,426.46 = 1,020.38 : x
  2. Step 2: Convert to fraction form
    3,617.51/5,426.46 = 1,020.38/x
  3. Step 3: Cross multiply
    3,617.51x = 5,426.46 × 1,020.38
  4. Step 4: Simplify right side
    3,617.51x = 5,537,024.12
  5. Step 5: Solve for x
    x = 5,537,024.12/3,617.51
  6. Step 6: Final answer
    x = 1,530.62

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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.