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Finding the Fourth Proportional to 5,623.68, 7,758.11 and 3,264.46

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Solution

The fourth proportional to 5,623.68, 7,758.11 and 3,264.46 is: 4,503.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.68 : 7,758.11 = 3,264.46 : x
  2. Step 2: Convert to fraction form
    5,623.68/7,758.11 = 3,264.46/x
  3. Step 3: Cross multiply
    5,623.68x = 7,758.11 × 3,264.46
  4. Step 4: Simplify right side
    5,623.68x = 25,325,984.66
  5. Step 5: Solve for x
    x = 25,325,984.66/5,623.68
  6. Step 6: Final answer
    x = 4,503.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.