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Finding the Fourth Proportional to 5,703.68, 8,541.63 and 3,231

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Solution

The fourth proportional to 5,703.68, 8,541.63 and 3,231 is: 4,838.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.68 : 8,541.63 = 3,231 : x
  2. Step 2: Convert to fraction form
    5,703.68/8,541.63 = 3,231/x
  3. Step 3: Cross multiply
    5,703.68x = 8,541.63 × 3,231
  4. Step 4: Simplify right side
    5,703.68x = 27,598,006.53
  5. Step 5: Solve for x
    x = 27,598,006.53/5,703.68
  6. Step 6: Final answer
    x = 4,838.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.