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Finding the Fourth Proportional to 5,903.20, 7,856.52 and 5,903.20

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Solution

The fourth proportional to 5,903.20, 7,856.52 and 5,903.20 is: 7,856.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.20 : 7,856.52 = 5,903.20 : x
  2. Step 2: Convert to fraction form
    5,903.20/7,856.52 = 5,903.20/x
  3. Step 3: Cross multiply
    5,903.20x = 7,856.52 × 5,903.20
  4. Step 4: Simplify right side
    5,903.20x = 46,378,608.86
  5. Step 5: Solve for x
    x = 46,378,608.86/5,903.20
  6. Step 6: Final answer
    x = 7,856.52

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.