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Finding the Fourth Proportional to 4,969.70, 6,858.54 and 3,288.17

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Solution

The fourth proportional to 4,969.70, 6,858.54 and 3,288.17 is: 4,537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.70 : 6,858.54 = 3,288.17 : x
  2. Step 2: Convert to fraction form
    4,969.70/6,858.54 = 3,288.17/x
  3. Step 3: Cross multiply
    4,969.70x = 6,858.54 × 3,288.17
  4. Step 4: Simplify right side
    4,969.70x = 22,552,045.47
  5. Step 5: Solve for x
    x = 22,552,045.47/4,969.70
  6. Step 6: Final answer
    x = 4,537.91

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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.