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Finding the Fourth Proportional to 5,258.46, 7,255.80 and 3,492.66

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Solution

The fourth proportional to 5,258.46, 7,255.80 and 3,492.66 is: 4,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.46 : 7,255.80 = 3,492.66 : x
  2. Step 2: Convert to fraction form
    5,258.46/7,255.80 = 3,492.66/x
  3. Step 3: Cross multiply
    5,258.46x = 7,255.80 × 3,492.66
  4. Step 4: Simplify right side
    5,258.46x = 25,342,042.43
  5. Step 5: Solve for x
    x = 25,342,042.43/5,258.46
  6. Step 6: Final answer
    x = 4,819.29

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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.