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Finding the Fourth Proportional to 3,157.92, 4,722.66 and 2,417.76

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Solution

The fourth proportional to 3,157.92, 4,722.66 and 2,417.76 is: 3,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.92 : 4,722.66 = 2,417.76 : x
  2. Step 2: Convert to fraction form
    3,157.92/4,722.66 = 2,417.76/x
  3. Step 3: Cross multiply
    3,157.92x = 4,722.66 × 2,417.76
  4. Step 4: Simplify right side
    3,157.92x = 11,418,258.44
  5. Step 5: Solve for x
    x = 11,418,258.44/3,157.92
  6. Step 6: Final answer
    x = 3,615.75

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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.