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Finding the Fourth Proportional to 5,156.46, 7,114.23 and 3,166.29

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Solution

The fourth proportional to 5,156.46, 7,114.23 and 3,166.29 is: 4,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.46 : 7,114.23 = 3,166.29 : x
  2. Step 2: Convert to fraction form
    5,156.46/7,114.23 = 3,166.29/x
  3. Step 3: Cross multiply
    5,156.46x = 7,114.23 × 3,166.29
  4. Step 4: Simplify right side
    5,156.46x = 22,525,715.31
  5. Step 5: Solve for x
    x = 22,525,715.31/5,156.46
  6. Step 6: Final answer
    x = 4,368.45

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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.