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Finding the Fourth Proportional to 5,113.80, 7,671.24 and 2,341.17

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Solution

The fourth proportional to 5,113.80, 7,671.24 and 2,341.17 is: 3,512.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.80 : 7,671.24 = 2,341.17 : x
  2. Step 2: Convert to fraction form
    5,113.80/7,671.24 = 2,341.17/x
  3. Step 3: Cross multiply
    5,113.80x = 7,671.24 × 2,341.17
  4. Step 4: Simplify right side
    5,113.80x = 17,959,676.95
  5. Step 5: Solve for x
    x = 17,959,676.95/5,113.80
  6. Step 6: Final answer
    x = 3,512.00

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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.