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Finding the Fourth Proportional to 5,846.53, 8,769.85 and 1,464

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Solution

The fourth proportional to 5,846.53, 8,769.85 and 1,464 is: 2,196.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.53 : 8,769.85 = 1,464 : x
  2. Step 2: Convert to fraction form
    5,846.53/8,769.85 = 1,464/x
  3. Step 3: Cross multiply
    5,846.53x = 8,769.85 × 1,464
  4. Step 4: Simplify right side
    5,846.53x = 12,839,060.40
  5. Step 5: Solve for x
    x = 12,839,060.40/5,846.53
  6. Step 6: Final answer
    x = 2,196.01

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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.