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Finding the Fourth Proportional to 5,157.18, 7,114.32 and 3,476.46

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Solution

The fourth proportional to 5,157.18, 7,114.32 and 3,476.46 is: 4,795.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.18 : 7,114.32 = 3,476.46 : x
  2. Step 2: Convert to fraction form
    5,157.18/7,114.32 = 3,476.46/x
  3. Step 3: Cross multiply
    5,157.18x = 7,114.32 × 3,476.46
  4. Step 4: Simplify right side
    5,157.18x = 24,732,648.91
  5. Step 5: Solve for x
    x = 24,732,648.91/5,157.18
  6. Step 6: Final answer
    x = 4,795.77

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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.