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Finding the Fourth Proportional to 5,865.24, 8,099.28 and 5,457

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Solution

The fourth proportional to 5,865.24, 8,099.28 and 5,457 is: 7,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.24 : 8,099.28 = 5,457 : x
  2. Step 2: Convert to fraction form
    5,865.24/8,099.28 = 5,457/x
  3. Step 3: Cross multiply
    5,865.24x = 8,099.28 × 5,457
  4. Step 4: Simplify right side
    5,865.24x = 44,197,770.96
  5. Step 5: Solve for x
    x = 44,197,770.96/5,865.24
  6. Step 6: Final answer
    x = 7,535.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.