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Finding the Fourth Proportional to 4,406.50, 6,607.63 and 2,558.08

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Solution

The fourth proportional to 4,406.50, 6,607.63 and 2,558.08 is: 3,835.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406.50 : 6,607.63 = 2,558.08 : x
  2. Step 2: Convert to fraction form
    4,406.50/6,607.63 = 2,558.08/x
  3. Step 3: Cross multiply
    4,406.50x = 6,607.63 × 2,558.08
  4. Step 4: Simplify right side
    4,406.50x = 16,902,843.22
  5. Step 5: Solve for x
    x = 16,902,843.22/4,406.50
  6. Step 6: Final answer
    x = 3,835.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.