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Finding the Fourth Proportional to 4,869.45, 7,268.81 and 4,509

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Solution

The fourth proportional to 4,869.45, 7,268.81 and 4,509 is: 6,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.45 : 7,268.81 = 4,509 : x
  2. Step 2: Convert to fraction form
    4,869.45/7,268.81 = 4,509/x
  3. Step 3: Cross multiply
    4,869.45x = 7,268.81 × 4,509
  4. Step 4: Simplify right side
    4,869.45x = 32,775,041.75
  5. Step 5: Solve for x
    x = 32,775,041.75/4,869.45
  6. Step 6: Final answer
    x = 6,730.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.