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Finding the Fourth Proportional to 3,483.95, 5,227.28 and 1,534.77

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Solution

The fourth proportional to 3,483.95, 5,227.28 and 1,534.77 is: 2,302.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.95 : 5,227.28 = 1,534.77 : x
  2. Step 2: Convert to fraction form
    3,483.95/5,227.28 = 1,534.77/x
  3. Step 3: Cross multiply
    3,483.95x = 5,227.28 × 1,534.77
  4. Step 4: Simplify right side
    3,483.95x = 8,022,664.85
  5. Step 5: Solve for x
    x = 8,022,664.85/3,483.95
  6. Step 6: Final answer
    x = 2,302.75

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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.