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Finding the Fourth Proportional to 4,604.56, 6,907.35 and 1,643.70

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Solution

The fourth proportional to 4,604.56, 6,907.35 and 1,643.70 is: 2,465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.56 : 6,907.35 = 1,643.70 : x
  2. Step 2: Convert to fraction form
    4,604.56/6,907.35 = 1,643.70/x
  3. Step 3: Cross multiply
    4,604.56x = 6,907.35 × 1,643.70
  4. Step 4: Simplify right side
    4,604.56x = 11,353,588.37
  5. Step 5: Solve for x
    x = 11,353,588.37/4,604.56
  6. Step 6: Final answer
    x = 2,465.73

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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.