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Finding the Fourth Proportional to 4,774.22, 6,588.57 and 2,678.42

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Solution

The fourth proportional to 4,774.22, 6,588.57 and 2,678.42 is: 3,696.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.22 : 6,588.57 = 2,678.42 : x
  2. Step 2: Convert to fraction form
    4,774.22/6,588.57 = 2,678.42/x
  3. Step 3: Cross multiply
    4,774.22x = 6,588.57 × 2,678.42
  4. Step 4: Simplify right side
    4,774.22x = 17,646,957.66
  5. Step 5: Solve for x
    x = 17,646,957.66/4,774.22
  6. Step 6: Final answer
    x = 3,696.30

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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.