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Finding the Fourth Proportional to 5,890.34, 8,827.28 and 4,427.78

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Solution

The fourth proportional to 5,890.34, 8,827.28 and 4,427.78 is: 6,635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.34 : 8,827.28 = 4,427.78 : x
  2. Step 2: Convert to fraction form
    5,890.34/8,827.28 = 4,427.78/x
  3. Step 3: Cross multiply
    5,890.34x = 8,827.28 × 4,427.78
  4. Step 4: Simplify right side
    5,890.34x = 39,085,253.84
  5. Step 5: Solve for x
    x = 39,085,253.84/5,890.34
  6. Step 6: Final answer
    x = 6,635.48

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1.5x scale

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.