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Finding the Fourth Proportional to 4,686.29, 6,467.74 and 4,532.46

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Solution

The fourth proportional to 4,686.29, 6,467.74 and 4,532.46 is: 6,255.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.29 : 6,467.74 = 4,532.46 : x
  2. Step 2: Convert to fraction form
    4,686.29/6,467.74 = 4,532.46/x
  3. Step 3: Cross multiply
    4,686.29x = 6,467.74 × 4,532.46
  4. Step 4: Simplify right side
    4,686.29x = 29,314,761.51
  5. Step 5: Solve for x
    x = 29,314,761.51/4,686.29
  6. Step 6: Final answer
    x = 6,255.43

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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.