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Finding the Fourth Proportional to 3,767.32, 5,649.72 and 1,302.07

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Solution

The fourth proportional to 3,767.32, 5,649.72 and 1,302.07 is: 1,952.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.32 : 5,649.72 = 1,302.07 : x
  2. Step 2: Convert to fraction form
    3,767.32/5,649.72 = 1,302.07/x
  3. Step 3: Cross multiply
    3,767.32x = 5,649.72 × 1,302.07
  4. Step 4: Simplify right side
    3,767.32x = 7,356,330.92
  5. Step 5: Solve for x
    x = 7,356,330.92/3,767.32
  6. Step 6: Final answer
    x = 1,952.67

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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.