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Finding the Fourth Proportional to 4,763.89, 7,146.32 and 1,643.49

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Solution

The fourth proportional to 4,763.89, 7,146.32 and 1,643.49 is: 2,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.89 : 7,146.32 = 1,643.49 : x
  2. Step 2: Convert to fraction form
    4,763.89/7,146.32 = 1,643.49/x
  3. Step 3: Cross multiply
    4,763.89x = 7,146.32 × 1,643.49
  4. Step 4: Simplify right side
    4,763.89x = 11,744,905.46
  5. Step 5: Solve for x
    x = 11,744,905.46/4,763.89
  6. Step 6: Final answer
    x = 2,465.40

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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.