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Finding the Fourth Proportional to 4,338.56, 6,506.42 and 1,416.16

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Solution

The fourth proportional to 4,338.56, 6,506.42 and 1,416.16 is: 2,123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.56 : 6,506.42 = 1,416.16 : x
  2. Step 2: Convert to fraction form
    4,338.56/6,506.42 = 1,416.16/x
  3. Step 3: Cross multiply
    4,338.56x = 6,506.42 × 1,416.16
  4. Step 4: Simplify right side
    4,338.56x = 9,214,131.75
  5. Step 5: Solve for x
    x = 9,214,131.75/4,338.56
  6. Step 6: Final answer
    x = 2,123.78

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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.