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Finding the Fourth Proportional to 3,416.18, 5,123.59 and 951.14

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Solution

The fourth proportional to 3,416.18, 5,123.59 and 951.14 is: 1,426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.18 : 5,123.59 = 951.14 : x
  2. Step 2: Convert to fraction form
    3,416.18/5,123.59 = 951.14/x
  3. Step 3: Cross multiply
    3,416.18x = 5,123.59 × 951.14
  4. Step 4: Simplify right side
    3,416.18x = 4,873,261.82
  5. Step 5: Solve for x
    x = 4,873,261.82/3,416.18
  6. Step 6: Final answer
    x = 1,426.53

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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.