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Finding the Fourth Proportional to 3,416.54, 5,123.72 and 1,225.14

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Solution

The fourth proportional to 3,416.54, 5,123.72 and 1,225.14 is: 1,837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.54 : 5,123.72 = 1,225.14 : x
  2. Step 2: Convert to fraction form
    3,416.54/5,123.72 = 1,225.14/x
  3. Step 3: Cross multiply
    3,416.54x = 5,123.72 × 1,225.14
  4. Step 4: Simplify right side
    3,416.54x = 6,277,274.32
  5. Step 5: Solve for x
    x = 6,277,274.32/3,416.54
  6. Step 6: Final answer
    x = 1,837.32

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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.