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Finding the Fourth Proportional to 5,602.69, 7,731.42 and 3,085.02

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Solution

The fourth proportional to 5,602.69, 7,731.42 and 3,085.02 is: 4,257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.69 : 7,731.42 = 3,085.02 : x
  2. Step 2: Convert to fraction form
    5,602.69/7,731.42 = 3,085.02/x
  3. Step 3: Cross multiply
    5,602.69x = 7,731.42 × 3,085.02
  4. Step 4: Simplify right side
    5,602.69x = 23,851,585.33
  5. Step 5: Solve for x
    x = 23,851,585.33/5,602.69
  6. Step 6: Final answer
    x = 4,257.17

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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.