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Finding the Fourth Proportional to 4,907.57, 7,357.88 and 2,309.09

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Solution

The fourth proportional to 4,907.57, 7,357.88 and 2,309.09 is: 3,462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.57 : 7,357.88 = 2,309.09 : x
  2. Step 2: Convert to fraction form
    4,907.57/7,357.88 = 2,309.09/x
  3. Step 3: Cross multiply
    4,907.57x = 7,357.88 × 2,309.09
  4. Step 4: Simplify right side
    4,907.57x = 16,989,995.58
  5. Step 5: Solve for x
    x = 16,989,995.58/4,907.57
  6. Step 6: Final answer
    x = 3,462.00

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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.