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Finding the Fourth Proportional to 4,612.97, 6,907.11 and 2,417.09

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Solution

The fourth proportional to 4,612.97, 6,907.11 and 2,417.09 is: 3,619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.97 : 6,907.11 = 2,417.09 : x
  2. Step 2: Convert to fraction form
    4,612.97/6,907.11 = 2,417.09/x
  3. Step 3: Cross multiply
    4,612.97x = 6,907.11 × 2,417.09
  4. Step 4: Simplify right side
    4,612.97x = 16,695,071.97
  5. Step 5: Solve for x
    x = 16,695,071.97/4,612.97
  6. Step 6: Final answer
    x = 3,619.16

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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.