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Finding the Fourth Proportional to 4,602.42, 6,343.92 and 2,830.14

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Solution

The fourth proportional to 4,602.42, 6,343.92 and 2,830.14 is: 3,901.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.42 : 6,343.92 = 2,830.14 : x
  2. Step 2: Convert to fraction form
    4,602.42/6,343.92 = 2,830.14/x
  3. Step 3: Cross multiply
    4,602.42x = 6,343.92 × 2,830.14
  4. Step 4: Simplify right side
    4,602.42x = 17,954,181.75
  5. Step 5: Solve for x
    x = 17,954,181.75/4,602.42
  6. Step 6: Final answer
    x = 3,901.03

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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.