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Finding the Fourth Proportional to 4,211.60, 6,308.28 and 2,746.31

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Solution

The fourth proportional to 4,211.60, 6,308.28 and 2,746.31 is: 4,113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211.60 : 6,308.28 = 2,746.31 : x
  2. Step 2: Convert to fraction form
    4,211.60/6,308.28 = 2,746.31/x
  3. Step 3: Cross multiply
    4,211.60x = 6,308.28 × 2,746.31
  4. Step 4: Simplify right side
    4,211.60x = 17,324,460.91
  5. Step 5: Solve for x
    x = 17,324,460.91/4,211.60
  6. Step 6: Final answer
    x = 4,113.52

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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.