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Finding the Fourth Proportional to 4,549.68, 6,820.80 and 4,185.20

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Solution

The fourth proportional to 4,549.68, 6,820.80 and 4,185.20 is: 6,274.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.68 : 6,820.80 = 4,185.20 : x
  2. Step 2: Convert to fraction form
    4,549.68/6,820.80 = 4,185.20/x
  3. Step 3: Cross multiply
    4,549.68x = 6,820.80 × 4,185.20
  4. Step 4: Simplify right side
    4,549.68x = 28,546,412.16
  5. Step 5: Solve for x
    x = 28,546,412.16/4,549.68
  6. Step 6: Final answer
    x = 6,274.38

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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.