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Finding the Fourth Proportional to 4,558.48, 6,835.18 and 2,914

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Solution

The fourth proportional to 4,558.48, 6,835.18 and 2,914 is: 4,369.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,558.48 : 6,835.18 = 2,914 : x
  2. Step 2: Convert to fraction form
    4,558.48/6,835.18 = 2,914/x
  3. Step 3: Cross multiply
    4,558.48x = 6,835.18 × 2,914
  4. Step 4: Simplify right side
    4,558.48x = 19,917,714.52
  5. Step 5: Solve for x
    x = 19,917,714.52/4,558.48
  6. Step 6: Final answer
    x = 4,369.38

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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.