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Finding the Fourth Proportional to 5,931.50, 8,896.43 and 1,548.72

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Solution

The fourth proportional to 5,931.50, 8,896.43 and 1,548.72 is: 2,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.50 : 8,896.43 = 1,548.72 : x
  2. Step 2: Convert to fraction form
    5,931.50/8,896.43 = 1,548.72/x
  3. Step 3: Cross multiply
    5,931.50x = 8,896.43 × 1,548.72
  4. Step 4: Simplify right side
    5,931.50x = 13,778,082.94
  5. Step 5: Solve for x
    x = 13,778,082.94/5,931.50
  6. Step 6: Final answer
    x = 2,322.87

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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.