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Finding the Fourth Proportional to 4,339.16, 6,494.48 and 2,361.77

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Solution

The fourth proportional to 4,339.16, 6,494.48 and 2,361.77 is: 3,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.16 : 6,494.48 = 2,361.77 : x
  2. Step 2: Convert to fraction form
    4,339.16/6,494.48 = 2,361.77/x
  3. Step 3: Cross multiply
    4,339.16x = 6,494.48 × 2,361.77
  4. Step 4: Simplify right side
    4,339.16x = 15,338,456.22
  5. Step 5: Solve for x
    x = 15,338,456.22/4,339.16
  6. Step 6: Final answer
    x = 3,534.89

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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.