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Finding the Fourth Proportional to 4,606.35, 6,907.10 and 2,006.25

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Solution

The fourth proportional to 4,606.35, 6,907.10 and 2,006.25 is: 3,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.35 : 6,907.10 = 2,006.25 : x
  2. Step 2: Convert to fraction form
    4,606.35/6,907.10 = 2,006.25/x
  3. Step 3: Cross multiply
    4,606.35x = 6,907.10 × 2,006.25
  4. Step 4: Simplify right side
    4,606.35x = 13,857,359.34
  5. Step 5: Solve for x
    x = 13,857,359.34/4,606.35
  6. Step 6: Final answer
    x = 3,008.32

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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.