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Finding the Fourth Proportional to 5,734.66, 7,915.10 and 3,496.63

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Solution

The fourth proportional to 5,734.66, 7,915.10 and 3,496.63 is: 4,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.66 : 7,915.10 = 3,496.63 : x
  2. Step 2: Convert to fraction form
    5,734.66/7,915.10 = 3,496.63/x
  3. Step 3: Cross multiply
    5,734.66x = 7,915.10 × 3,496.63
  4. Step 4: Simplify right side
    5,734.66x = 27,676,176.11
  5. Step 5: Solve for x
    x = 27,676,176.11/5,734.66
  6. Step 6: Final answer
    x = 4,826.12

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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.