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Finding the Fourth Proportional to 4,462.58, 6,686.30 and 3,157.68

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Solution

The fourth proportional to 4,462.58, 6,686.30 and 3,157.68 is: 4,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.58 : 6,686.30 = 3,157.68 : x
  2. Step 2: Convert to fraction form
    4,462.58/6,686.30 = 3,157.68/x
  3. Step 3: Cross multiply
    4,462.58x = 6,686.30 × 3,157.68
  4. Step 4: Simplify right side
    4,462.58x = 21,113,195.78
  5. Step 5: Solve for x
    x = 21,113,195.78/4,462.58
  6. Step 6: Final answer
    x = 4,731.16

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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.