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Finding the Fourth Proportional to 4,686.80, 6,468.43 and 4,532.96

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Solution

The fourth proportional to 4,686.80, 6,468.43 and 4,532.96 is: 6,256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.80 : 6,468.43 = 4,532.96 : x
  2. Step 2: Convert to fraction form
    4,686.80/6,468.43 = 4,532.96/x
  3. Step 3: Cross multiply
    4,686.80x = 6,468.43 × 4,532.96
  4. Step 4: Simplify right side
    4,686.80x = 29,321,134.45
  5. Step 5: Solve for x
    x = 29,321,134.45/4,686.80
  6. Step 6: Final answer
    x = 6,256.12

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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.