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Finding the Fourth Proportional to 4,617.07, 6,913.31 and 2,421.20

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Solution

The fourth proportional to 4,617.07, 6,913.31 and 2,421.20 is: 3,625.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.07 : 6,913.31 = 2,421.20 : x
  2. Step 2: Convert to fraction form
    4,617.07/6,913.31 = 2,421.20/x
  3. Step 3: Cross multiply
    4,617.07x = 6,913.31 × 2,421.20
  4. Step 4: Simplify right side
    4,617.07x = 16,738,511.35
  5. Step 5: Solve for x
    x = 16,738,511.35/4,617.07
  6. Step 6: Final answer
    x = 3,625.36

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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.