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Finding the Fourth Proportional to 4,602.84, 6,349.29 and 2,833.20

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Solution

The fourth proportional to 4,602.84, 6,349.29 and 2,833.20 is: 3,908.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.84 : 6,349.29 = 2,833.20 : x
  2. Step 2: Convert to fraction form
    4,602.84/6,349.29 = 2,833.20/x
  3. Step 3: Cross multiply
    4,602.84x = 6,349.29 × 2,833.20
  4. Step 4: Simplify right side
    4,602.84x = 17,988,808.43
  5. Step 5: Solve for x
    x = 17,988,808.43/4,602.84
  6. Step 6: Final answer
    x = 3,908.20

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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.