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Finding the Fourth Proportional to 3,767.66, 5,652.24 and 1,302.57

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Solution

The fourth proportional to 3,767.66, 5,652.24 and 1,302.57 is: 1,954.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.66 : 5,652.24 = 1,302.57 : x
  2. Step 2: Convert to fraction form
    3,767.66/5,652.24 = 1,302.57/x
  3. Step 3: Cross multiply
    3,767.66x = 5,652.24 × 1,302.57
  4. Step 4: Simplify right side
    3,767.66x = 7,362,438.26
  5. Step 5: Solve for x
    x = 7,362,438.26/3,767.66
  6. Step 6: Final answer
    x = 1,954.12

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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.