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Finding the Fourth Proportional to 4,602.69, 6,349.69 and 3,110.06

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Solution

The fourth proportional to 4,602.69, 6,349.69 and 3,110.06 is: 4,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.69 : 6,349.69 = 3,110.06 : x
  2. Step 2: Convert to fraction form
    4,602.69/6,349.69 = 3,110.06/x
  3. Step 3: Cross multiply
    4,602.69x = 6,349.69 × 3,110.06
  4. Step 4: Simplify right side
    4,602.69x = 19,747,936.64
  5. Step 5: Solve for x
    x = 19,747,936.64/4,602.69
  6. Step 6: Final answer
    x = 4,290.52

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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.