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Finding the Fourth Proportional to 3,027.28, 4,539.84 and 975.28

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Solution

The fourth proportional to 3,027.28, 4,539.84 and 975.28 is: 1,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.28 : 4,539.84 = 975.28 : x
  2. Step 2: Convert to fraction form
    3,027.28/4,539.84 = 975.28/x
  3. Step 3: Cross multiply
    3,027.28x = 4,539.84 × 975.28
  4. Step 4: Simplify right side
    3,027.28x = 4,427,615.16
  5. Step 5: Solve for x
    x = 4,427,615.16/3,027.28
  6. Step 6: Final answer
    x = 1,462.57

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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.