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Finding the Fourth Proportional to 5,945.84, 8,924.58 and 4,964.93

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Solution

The fourth proportional to 5,945.84, 8,924.58 and 4,964.93 is: 7,452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.84 : 8,924.58 = 4,964.93 : x
  2. Step 2: Convert to fraction form
    5,945.84/8,924.58 = 4,964.93/x
  3. Step 3: Cross multiply
    5,945.84x = 8,924.58 × 4,964.93
  4. Step 4: Simplify right side
    5,945.84x = 44,309,903.82
  5. Step 5: Solve for x
    x = 44,309,903.82/5,945.84
  6. Step 6: Final answer
    x = 7,452.25

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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.