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Finding the Fourth Proportional to 5,911.58, 8,856.30 and 5,303

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Solution

The fourth proportional to 5,911.58, 8,856.30 and 5,303 is: 7,944.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.58 : 8,856.30 = 5,303 : x
  2. Step 2: Convert to fraction form
    5,911.58/8,856.30 = 5,303/x
  3. Step 3: Cross multiply
    5,911.58x = 8,856.30 × 5,303
  4. Step 4: Simplify right side
    5,911.58x = 46,964,958.90
  5. Step 5: Solve for x
    x = 46,964,958.90/5,911.58
  6. Step 6: Final answer
    x = 7,944.57

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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.