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Finding the Fourth Proportional to 4,607.88, 6,910.68 and 1,975.09

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Solution

The fourth proportional to 4,607.88, 6,910.68 and 1,975.09 is: 2,962.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.88 : 6,910.68 = 1,975.09 : x
  2. Step 2: Convert to fraction form
    4,607.88/6,910.68 = 1,975.09/x
  3. Step 3: Cross multiply
    4,607.88x = 6,910.68 × 1,975.09
  4. Step 4: Simplify right side
    4,607.88x = 13,649,212.49
  5. Step 5: Solve for x
    x = 13,649,212.49/4,607.88
  6. Step 6: Final answer
    x = 2,962.14

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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.