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Finding the Fourth Proportional to 3,364.60, 5,044.74 and 1,416.28

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Solution

The fourth proportional to 3,364.60, 5,044.74 and 1,416.28 is: 2,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.60 : 5,044.74 = 1,416.28 : x
  2. Step 2: Convert to fraction form
    3,364.60/5,044.74 = 1,416.28/x
  3. Step 3: Cross multiply
    3,364.60x = 5,044.74 × 1,416.28
  4. Step 4: Simplify right side
    3,364.60x = 7,144,764.37
  5. Step 5: Solve for x
    x = 7,144,764.37/3,364.60
  6. Step 6: Final answer
    x = 2,123.51

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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.