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Finding the Fourth Proportional to 5,113, 7,671.30 and 2,517.76

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Solution

The fourth proportional to 5,113, 7,671.30 and 2,517.76 is: 3,777.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113 : 7,671.30 = 2,517.76 : x
  2. Step 2: Convert to fraction form
    5,113/7,671.30 = 2,517.76/x
  3. Step 3: Cross multiply
    5,113x = 7,671.30 × 2,517.76
  4. Step 4: Simplify right side
    5,113x = 19,314,492.29
  5. Step 5: Solve for x
    x = 19,314,492.29/5,113
  6. Step 6: Final answer
    x = 3,777.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.