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Finding the Fourth Proportional to 4,648.37, 6,969.52 and 1,686.26

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Solution

The fourth proportional to 4,648.37, 6,969.52 and 1,686.26 is: 2,528.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.37 : 6,969.52 = 1,686.26 : x
  2. Step 2: Convert to fraction form
    4,648.37/6,969.52 = 1,686.26/x
  3. Step 3: Cross multiply
    4,648.37x = 6,969.52 × 1,686.26
  4. Step 4: Simplify right side
    4,648.37x = 11,752,422.80
  5. Step 5: Solve for x
    x = 11,752,422.80/4,648.37
  6. Step 6: Final answer
    x = 2,528.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.